Monday, January 29, 2024

Viral Mensa IQ Math Question - Straight Forward Pattern to Crack



from PK Math https://www.youtube.com/watch?v=lB1JyojqHqo

Math Challenge - An Interesting Algebra Problem from American Regional Math League

In this video, we are solving an interesting algebra problem from American Regional Math League. Some interesting substitution and factoring skills were used to come up with solution for this problem. Such an interesting algebra problem from American Regional Math League. More to come! Stay tuned! ๐Ÿ”” Passionate about math challenges? Join PK Math and explore a universe of math olympiads, tournaments, and more: https://www.youtube.com/@PKMath1234 ✅ Stay Connected To Me. ๐Ÿ‘‰ Twitter: https://twitter.com/drpkmath ๐Ÿ‘‰ Instagram: https://ift.tt/MUYyEHt ✅ For Business Inquiries: patcastle6022@gmail.com ============================= ✅ Recommended Playlists: ๐Ÿ‘‰Algebra: https://www.youtube.com/playlist?list=PL_oRr2ie5-LI9ESU2AmW0UGQ6Sv3R5nWT ๐Ÿ‘‰National Math Olympiad and Competition: https://www.youtube.com/playlist?list=PL_oRr2ie5-LLY5ozfdQckik6vByEIQt3I ✅ Other Videos You Might Be Interested In Watching: ๐Ÿ‘‰ The Best Integral on Youtube by @PapaFlammy69 with Numerical Approximation https://www.youtube.com/watch?v=u3OLnzatU_g ๐Ÿ‘‰ A Nice Exponential Equation with @infyGyan https://www.youtube.com/watch?v=pHgzQfDI5sQ ๐Ÿ‘‰ South African Math Olympiad - Beautiful System of Equations https://www.youtube.com/watch?v=nc5VE683iOo ๐Ÿ‘‰ A Surprisingly Interesting Exponential Equation https://www.youtube.com/watch?v=GAFEJZWF9GI ================================ ✅ About PK Math : Welcome to the PK Math Youtube Channel. I am PK, a mathematician and a college math professor, and also simply someone who loves math so much. In my channel, I cover many interesting math problems in all levels of difficulty from all over the world. Some of them are from college entrance exams in different countries such as Korean CSAT, SAT in America, JEE Main/Advanced Math, or from International Math Olympiad or other advanced math competitions in different countries. Topics include algebra, geometry, trigonometry, calculus, etc. If you are interested in mathematics or simply want to learn or enjoy math, you have come to the right channel. For Appointment and Business inquiries, please use the contact information below: ๐Ÿ“ฉ Email: patcastle6022@gmail.com ๐Ÿ””Subscribe now for intriguing math problems and solutions. https://www.youtube.com/@PKMath1234 ================================= #algebra #mathchallenge #systemofequations Disclaimer: I do not accept any liability for any loss or damage incurred by you acting or not acting as a result of watching any of my publications. You acknowledge that you use the information I provide at your own risk. Do your own research. Copyright Notice: This video and my YouTube channel contain dialogue, music, and images that are the property of PK Math. You are authorized to share the video link and channel and embed this video in your website or others as long as a link back to my Youtube Channel is provided. © PK Math

from PK Math https://www.youtube.com/watch?v=BV_M_o2qakQ

Thursday, January 25, 2024

Viral Mensa IQ Math Question - Is This an Easy Pattern to Crack?



from PK Math https://www.youtube.com/watch?v=djWBvq8JyoE

The Hardest Problem from Harvard-MIT Math Tournament (HMMT) - Collaborated with @tibees

In this video, we are solving probably the hardest algebra problem from Harvard-MIT Math Tournament (HMMT) collaborated with @tibees . This problem is very tricky that we needed to use calculus knowledge using difficult derivative and find the pattern of iterated functions to come up with the solutions. Factoring skills, graphing method, calculus - derivative skills, and exponential/radical operations were all used together. Harvard-MIT Math Tournament is full of challenging but interesting problems that I am planning to cover many of them. Stay tuned! ๐Ÿ”” Passionate about math challenges? Join PK Math and explore a universe of math olympiads, tournaments, and more: https://www.youtube.com/@PKMath1234 ✅ Stay Connected To Me. ๐Ÿ‘‰ Twitter: https://twitter.com/drpkmath ๐Ÿ‘‰ Instagram: https://ift.tt/uUIjD3v ✅ For Business Inquiries: patcastle6022@gmail.com ============================= ✅ Recommended Playlists: ๐Ÿ‘‰Algebra: https://www.youtube.com/playlist?list=PL_oRr2ie5-LI9ESU2AmW0UGQ6Sv3R5nWT ๐Ÿ‘‰National Math Olympiad and Competition: https://www.youtube.com/playlist?list=PL_oRr2ie5-LLY5ozfdQckik6vByEIQt3I ✅ Other Videos You Might Be Interested In Watching: ๐Ÿ‘‰ The Best Integral on Youtube by @PapaFlammy69 with Numerical Approximation https://www.youtube.com/watch?v=u3OLnzatU_g ๐Ÿ‘‰ A Nice Exponential Equation with @infyGyan https://www.youtube.com/watch?v=pHgzQfDI5sQ ๐Ÿ‘‰ South African Math Olympiad - Beautiful System of Equations https://www.youtube.com/watch?v=nc5VE683iOo ๐Ÿ‘‰ A Surprisingly Interesting Exponential Equation https://www.youtube.com/watch?v=GAFEJZWF9GI ================================ ✅ About PK Math : Welcome to the PK Math Youtube Channel. I am PK, a mathematician and a college math professor, and also simply someone who loves math so much. In my channel, I cover many interesting math problems in all levels of difficulty from all over the world. Some of them are from college entrance exams in different countries such as Korean CSAT, SAT in America, JEE Main/Advanced Math, or from International Math Olympiad or other advanced math competitions in different countries. Topics include algebra, geometry, trigonometry, calculus, etc. If you are interested in mathematics or simply want to learn or enjoy math, you have come to the right channel. For Appointment and Business inquiries, please use the contact information below: ๐Ÿ“ฉ Email: patcastle6022@gmail.com ๐Ÿ””Subscribe now for intriguing math problems and solutions. https://www.youtube.com/@PKMath1234 ================================= #hmmt #harvardmitmathtournament #algebra #calculus Disclaimer: I do not accept any liability for any loss or damage incurred by you acting or not acting as a result of watching any of my publications. You acknowledge that you use the information I provide at your own risk. Do your own research. Copyright Notice: This video and my YouTube channel contain dialogue, music, and images that are the property of PK Math. You are authorized to share the video link and channel and embed this video in your website or others as long as a link back to my Youtube Channel is provided. © PK Math

from PK Math https://www.youtube.com/watch?v=NVbgHvTrFBg

Sunday, January 21, 2024

Viral Mensa IQ Math Question - Ready for this Pattern to Crack?



from PK Math https://www.youtube.com/watch?v=mnqKNv3jE6E

Epic Differential Equation with an Epic Solution

In this video, we are solving an epic differential equation with epic solutions. I have used many interesting and useful techniques to solve this differential equation using derivatives. Make sure to watch the video until the end. More to come! Stay tuned! ๐Ÿ”” Passionate about math challenges? Join PK Math and explore a universe of math olympiads, tournaments, and more: https://www.youtube.com/@PKMath1234 ✅ Stay Connected To Me. ๐Ÿ‘‰ Twitter: https://twitter.com/drpkmath ๐Ÿ‘‰ Instagram: https://ift.tt/7T1gt0d ✅ For Business Inquiries: patcastle6022@gmail.com ============================= ✅ Recommended Playlists: ๐Ÿ‘‰Algebra: https://www.youtube.com/playlist?list=PL_oRr2ie5-LI9ESU2AmW0UGQ6Sv3R5nWT ๐Ÿ‘‰National Math Olympiad and Competition: https://www.youtube.com/playlist?list=PL_oRr2ie5-LLY5ozfdQckik6vByEIQt3I ✅ Other Videos You Might Be Interested In Watching: ๐Ÿ‘‰ The Best Integral on Youtube by @PapaFlammy69 with Numerical Approximation https://www.youtube.com/watch?v=u3OLnzatU_g ๐Ÿ‘‰ A Nice Exponential Equation with @infyGyan https://www.youtube.com/watch?v=pHgzQfDI5sQ ๐Ÿ‘‰ South African Math Olympiad - Beautiful System of Equations https://www.youtube.com/watch?v=nc5VE683iOo ๐Ÿ‘‰ A Surprisingly Interesting Exponential Equation https://www.youtube.com/watch?v=GAFEJZWF9GI ================================ ✅ About PK Math : Welcome to the PK Math Youtube Channel. I am PK, a mathematician and a college math professor, and also simply someone who loves math so much. In my channel, I cover many interesting math problems in all levels of difficulty from all over the world. Some of them are from college entrance exams in different countries such as Korean CSAT, SAT in America, JEE Main/Advanced Math, or from International Math Olympiad or other advanced math competitions in different countries. Topics include algebra, geometry, trigonometry, calculus, etc. If you are interested in mathematics or simply want to learn or enjoy math, you have come to the right channel. For Appointment and Business inquiries, please use the contact information below: ๐Ÿ“ฉ Email: patcastle6022@gmail.com ๐Ÿ””Subscribe now for intriguing math problems and solutions. https://www.youtube.com/@PKMath1234 ================================= #differentialequation #calculus #differential Disclaimer: I do not accept any liability for any loss or damage incurred by you acting or not acting as a result of watching any of my publications. You acknowledge that you use the information I provide at your own risk. Do your own research. Copyright Notice: This video and my YouTube channel contain dialogue, music, and images that are the property of PK Math. You are authorized to share the video link and channel and embed this video in your website or others as long as a link back to my Youtube Channel is provided. © PK Math

from PK Math https://www.youtube.com/watch?v=r1DdMrZR724

Sunday, January 14, 2024

Viral Mensa IQ Math Question - You Have Not Seen this Pattern to Crack Before



from PK Math https://www.youtube.com/watch?v=452Z0t6eopQ

Tricky Integral with Golden Ratio and Lambert W Function You've Never Seen Before

In this video, we are evaluating an interesting integral with lower bound and upper bound both with phi - a golden ratio. You have not seen this integral before. We first evaluated lower and upper bound using natural log and golden ratio phi, and analyzed the roots to evaluate this beautiful integral using Lambert W function. Check this out. More to come! ๐Ÿ”” Passionate about math challenges? Join PK Math and explore a universe of math olympiads, tournaments, and more: https://www.youtube.com/@PKMath1234 ✅ Stay Connected To Me. ๐Ÿ‘‰ Twitter: https://twitter.com/drpkmath ๐Ÿ‘‰ Instagram: https://ift.tt/jZxAQFH ✅ For Business Inquiries: patcastle6022@gmail.com ============================= ✅ Recommended Playlists: ๐Ÿ‘‰Algebra: https://www.youtube.com/playlist?list=PL_oRr2ie5-LI9ESU2AmW0UGQ6Sv3R5nWT ๐Ÿ‘‰National Math Olympiad and Competition: https://www.youtube.com/playlist?list=PL_oRr2ie5-LLY5ozfdQckik6vByEIQt3I ✅ Other Videos You Might Be Interested In Watching: ๐Ÿ‘‰ The Best Integral on Youtube by @PapaFlammy69 with Numerical Approximation https://www.youtube.com/watch?v=u3OLnzatU_g ๐Ÿ‘‰ A Nice Exponential Equation with @infyGyan https://www.youtube.com/watch?v=pHgzQfDI5sQ ๐Ÿ‘‰ South African Math Olympiad - Beautiful System of Equations https://www.youtube.com/watch?v=nc5VE683iOo ๐Ÿ‘‰ A Surprisingly Interesting Exponential Equation https://www.youtube.com/watch?v=GAFEJZWF9GI ================================ ✅ About PK Math : Welcome to the PK Math Youtube Channel. I am PK, a mathematician and a college math professor, and also simply someone who loves math so much. In my channel, I cover many interesting math problems in all levels of difficulty from all over the world. Some of them are from college entrance exams in different countries such as Korean CSAT, SAT in America, JEE Main/Advanced Math, or from International Math Olympiad or other advanced math competitions in different countries. Topics include algebra, geometry, trigonometry, calculus, etc. If you are interested in mathematics or simply want to learn or enjoy math, you have come to the right channel. For Appointment and Business inquiries, please use the contact information below: ๐Ÿ“ฉ Email: patcastle6022@gmail.com ๐Ÿ””Subscribe now for intriguing math problems and solutions. https://www.youtube.com/@PKMath1234 ================================= #integral #calculus #lambertwfunction Disclaimer: I do not accept any liability for any loss or damage incurred by you acting or not acting as a result of watching any of my publications. You acknowledge that you use the information I provide at your own risk. Do your own research. Copyright Notice: This video and my YouTube channel contain dialogue, music, and images that are the property of PK Math. You are authorized to share the video link and channel and embed this video in your website or others as long as a link back to my Youtube Channel is provided. © PK Math

from PK Math https://www.youtube.com/watch?v=ddoMRNqlrE4

Tuesday, January 9, 2024

Viral Mensa IQ Math Question - Somewhat Easy Pattern to Crack



from PK Math https://www.youtube.com/watch?v=Ylvs_JErbNc

Evaluating a Monster Integral with Contour Method

In this video, we are evaluating this interesting yet difficult integral with trigonometric integrand using contour method in complex analysis. We re-write this integrand using a complex number and use contour method to evaluate this with residue of a convenient expression. Make sure to come check this integral out. Problem credit to @chrisjuravich3398 ๐Ÿ”” Passionate about math challenges? Join PK Math and explore a universe of math olympiads, tournaments, and more: https://www.youtube.com/@PKMath1234 ✅ Stay Connected To Me. ๐Ÿ‘‰ Twitter: https://twitter.com/drpkmath ๐Ÿ‘‰ Instagram: https://ift.tt/U5O4puB ✅ For Business Inquiries: patcastle6022@gmail.com ============================= ✅ Recommended Playlists: ๐Ÿ‘‰Algebra: https://www.youtube.com/playlist?list=PL_oRr2ie5-LI9ESU2AmW0UGQ6Sv3R5nWT ๐Ÿ‘‰National Math Olympiad and Competition: https://www.youtube.com/playlist?list=PL_oRr2ie5-LLY5ozfdQckik6vByEIQt3I ✅ Other Videos You Might Be Interested In Watching: ๐Ÿ‘‰ The Best Integral on Youtube by @PapaFlammy69 with Numerical Approximation https://www.youtube.com/watch?v=u3OLnzatU_g ๐Ÿ‘‰ A Nice Exponential Equation with @infyGyan https://www.youtube.com/watch?v=pHgzQfDI5sQ ๐Ÿ‘‰ South African Math Olympiad - Beautiful System of Equations https://www.youtube.com/watch?v=nc5VE683iOo ๐Ÿ‘‰ A Surprisingly Interesting Exponential Equation https://www.youtube.com/watch?v=GAFEJZWF9GI ================================ ✅ About PK Math : Welcome to the PK Math Youtube Channel. I am PK, a mathematician and a college math professor, and also simply someone who loves math so much. In my channel, I cover many interesting math problems in all levels of difficulty from all over the world. Some of them are from college entrance exams in different countries such as Korean CSAT, SAT in America, JEE Main/Advanced Math, or from International Math Olympiad or other advanced math competitions in different countries. Topics include algebra, geometry, trigonometry, calculus, etc. If you are interested in mathematics or simply want to learn or enjoy math, you have come to the right channel. For Appointment and Business inquiries, please use the contact information below: ๐Ÿ“ฉ Email: patcastle6022@gmail.com ๐Ÿ””Subscribe now for intriguing math problems and solutions. https://www.youtube.com/@PKMath1234 ================================= #contour #integral #calculus Disclaimer: I do not accept any liability for any loss or damage incurred by you acting or not acting as a result of watching any of my publications. You acknowledge that you use the information I provide at your own risk. Do your own research. Copyright Notice: This video and my YouTube channel contain dialogue, music, and images that are the property of PK Math. You are authorized to share the video link and channel and embed this video in your website or others as long as a link back to my Youtube Channel is provided. © PK Math

from PK Math https://www.youtube.com/watch?v=NTygOWQTIqg

Saturday, January 6, 2024

Viral Mensa IQ Math Question - Easy But Interesting Pattern to Crack



from PK Math https://www.youtube.com/watch?v=Mt585ihdES4

Viral Mensa IQ Math Question - Easy or Not Easy Pattern to Crack?



from PK Math https://www.youtube.com/watch?v=YDtX1ziJXvI

Korean Suneung SAT Math - Derivative with Critical Numbers

In this video, we are solving this interesting calculus problem from Korean Suneung SAT exam using a derivative and critical numbers to come up with the answer using roots. First derivative is used to calculate critical numbers, and analyze roots to come up with the final answer using critical points. More to come! Stay tuned! ๐Ÿ”” Passionate about math challenges? Join PK Math and explore a universe of math olympiads, tournaments, and more: https://www.youtube.com/@PKMath1234 ✅ Stay Connected To Me. ๐Ÿ‘‰ Twitter: https://twitter.com/drpkmath ๐Ÿ‘‰ Instagram: https://ift.tt/drYsnoW ✅ For Business Inquiries: patcastle6022@gmail.com ============================= ✅ Recommended Playlists: ๐Ÿ‘‰Algebra: https://www.youtube.com/playlist?list=PL_oRr2ie5-LI9ESU2AmW0UGQ6Sv3R5nWT ๐Ÿ‘‰National Math Olympiad and Competition: https://www.youtube.com/playlist?list=PL_oRr2ie5-LLY5ozfdQckik6vByEIQt3I ✅ Other Videos You Might Be Interested In Watching: ๐Ÿ‘‰ The Best Integral on Youtube by @PapaFlammy69 with Numerical Approximation https://www.youtube.com/watch?v=u3OLnzatU_g ๐Ÿ‘‰ A Nice Exponential Equation with @infyGyan https://www.youtube.com/watch?v=pHgzQfDI5sQ ๐Ÿ‘‰ South African Math Olympiad - Beautiful System of Equations https://www.youtube.com/watch?v=nc5VE683iOo ๐Ÿ‘‰ A Surprisingly Interesting Exponential Equation https://www.youtube.com/watch?v=GAFEJZWF9GI ================================ ✅ About PK Math : Welcome to the PK Math Youtube Channel. I am PK, a mathematician and a college math professor, and also simply someone who loves math so much. In my channel, I cover many interesting math problems in all levels of difficulty from all over the world. Some of them are from college entrance exams in different countries such as Korean CSAT, SAT in America, JEE Main/Advanced Math, or from International Math Olympiad or other advanced math competitions in different countries. Topics include algebra, geometry, trigonometry, calculus, etc. If you are interested in mathematics or simply want to learn or enjoy math, you have come to the right channel. For Appointment and Business inquiries, please use the contact information below: ๐Ÿ“ฉ Email: patcastle6022@gmail.com ๐Ÿ””Subscribe now for intriguing math problems and solutions. https://www.youtube.com/@PKMath1234 ================================= #koreansatmath #calculus #derivatives Disclaimer: I do not accept any liability for any loss or damage incurred by you acting or not acting as a result of watching any of my publications. You acknowledge that you use the information I provide at your own risk. Do your own research. Copyright Notice: This video and my YouTube channel contain dialogue, music, and images that are the property of PK Math. You are authorized to share the video link and channel and embed this video in your website or others as long as a link back to my Youtube Channel is provided. © PK Math

from PK Math https://www.youtube.com/watch?v=n7uSq-jTxAA

Friday, January 5, 2024

Viral Mensa IQ Math Question - Seems Like an Easy Pattern to Crack



from PK Math https://www.youtube.com/watch?v=mx2crSCjq1Q

Viral Mensa IQ Math Question - Think This is an Easy Pattern to Crack?



from PK Math https://www.youtube.com/watch?v=AEafANoRqK0

Oxford Maths Admission Test Problem Solved in One Step

In this video, we are solving an interesting and easy calculus problem from Oxford Maths Admission Test in just one step using a graphing method. First, we got two critical numbers to plug in to a regular function and see what our corresponding y values are. Then, compare it with 3000 to see how many real solutions we have using a derivative of it. I used both derivative in calculus and graphing method at the same time. Oxford Maths Admission Test is full of interesting problems that I am planning to cover many of them. More to come! Stay tuned! ๐Ÿ”” Passionate about math challenges? Join PK Math and explore a universe of math olympiads, tournaments, and more: https://www.youtube.com/@PKMath1234 ✅ Stay Connected To Me. ๐Ÿ‘‰ Twitter: https://twitter.com/drpkmath ๐Ÿ‘‰ Instagram: https://ift.tt/FqDGZnC ✅ For Business Inquiries: patcastle6022@gmail.com ============================= ✅ Recommended Playlists: ๐Ÿ‘‰Algebra: https://www.youtube.com/playlist?list=PL_oRr2ie5-LI9ESU2AmW0UGQ6Sv3R5nWT ๐Ÿ‘‰National Math Olympiad and Competition: https://www.youtube.com/playlist?list=PL_oRr2ie5-LLY5ozfdQckik6vByEIQt3I ✅ Other Videos You Might Be Interested In Watching: ๐Ÿ‘‰ The Best Integral on Youtube by @PapaFlammy69 with Numerical Approximation https://www.youtube.com/watch?v=u3OLnzatU_g ๐Ÿ‘‰ A Nice Exponential Equation with @infyGyan https://www.youtube.com/watch?v=pHgzQfDI5sQ ๐Ÿ‘‰ South African Math Olympiad - Beautiful System of Equations https://www.youtube.com/watch?v=nc5VE683iOo ๐Ÿ‘‰ A Surprisingly Interesting Exponential Equation https://www.youtube.com/watch?v=GAFEJZWF9GI ================================ ✅ About PK Math : Welcome to the PK Math Youtube Channel. I am PK, a mathematician and a college math professor, and also simply someone who loves math so much. In my channel, I cover many interesting math problems in all levels of difficulty from all over the world. Some of them are from college entrance exams in different countries such as Korean CSAT, SAT in America, JEE Main/Advanced Math, or from International Math Olympiad or other advanced math competitions in different countries. Topics include algebra, geometry, trigonometry, calculus, etc. If you are interested in mathematics or simply want to learn or enjoy math, you have come to the right channel. For Appointment and Business inquiries, please use the contact information below: ๐Ÿ“ฉ Email: patcastle6022@gmail.com ๐Ÿ””Subscribe now for intriguing math problems and solutions. https://www.youtube.com/@PKMath1234 ================================= #derivatives #oxford #cubicequation Disclaimer: I do not accept any liability for any loss or damage incurred by you acting or not acting as a result of watching any of my publications. You acknowledge that you use the information I provide at your own risk. Do your own research. Copyright Notice: This video and my YouTube channel contain dialogue, music, and images that are the property of PK Math. You are authorized to share the video link and channel and embed this video in your website or others as long as a link back to my Youtube Channel is provided. © PK Math

from PK Math https://www.youtube.com/watch?v=exTBqQPvX4U

Tuesday, January 2, 2024

Viral Mensa IQ Math Question - How About You Cracking this Pattern?



from PK Math https://www.youtube.com/watch?v=OCTwF6NUwFM

JEE Advanced Mathematics - A Quadratic Equation with an Absolute Value Sign

In this video, we are solving an interesting quadratic equation with an absolute value sign from JEE Advanced Mathematics. We used an important condition in dealing with an absolute value sign with quadratic function inside, and eventually come up with the number of real roots of this quadratic equation with an absolute value sign from JEE Advanced Mathematics. JEE Advanced Mathematics is full of interesting yet challenging problems that I plan to cover many of them. More to come! Stay tuned! ๐Ÿ”” Passionate about math challenges? Join PK Math and explore a universe of math olympiads, tournaments, and more: https://www.youtube.com/@PKMath1234 ✅ Stay Connected To Me. ๐Ÿ‘‰ Twitter: https://twitter.com/drpkmath ๐Ÿ‘‰ Instagram: https://ift.tt/0u6HhXf ✅ For Business Inquiries: patcastle6022@gmail.com ============================= ✅ Recommended Playlists: ๐Ÿ‘‰Algebra: https://www.youtube.com/playlist?list=PL_oRr2ie5-LI9ESU2AmW0UGQ6Sv3R5nWT ๐Ÿ‘‰National Math Olympiad and Competition: https://www.youtube.com/playlist?list=PL_oRr2ie5-LLY5ozfdQckik6vByEIQt3I ✅ Other Videos You Might Be Interested In Watching: ๐Ÿ‘‰ The Best Integral on Youtube by @PapaFlammy69 with Numerical Approximation https://www.youtube.com/watch?v=u3OLnzatU_g ๐Ÿ‘‰ A Nice Exponential Equation with @infyGyan https://www.youtube.com/watch?v=pHgzQfDI5sQ ๐Ÿ‘‰ South African Math Olympiad - Beautiful System of Equations https://www.youtube.com/watch?v=nc5VE683iOo ๐Ÿ‘‰ A Surprisingly Interesting Exponential Equation https://www.youtube.com/watch?v=GAFEJZWF9GI ================================ ✅ About PK Math : Welcome to the PK Math Youtube Channel. I am PK, a mathematician and a college math professor, and also simply someone who loves math so much. In my channel, I cover many interesting math problems in all levels of difficulty from all over the world. Some of them are from college entrance exams in different countries such as Korean CSAT, SAT in America, JEE Main/Advanced Math, or from International Math Olympiad or other advanced math competitions in different countries. Topics include algebra, geometry, trigonometry, calculus, etc. If you are interested in mathematics or simply want to learn or enjoy math, you have come to the right channel. For Appointment and Business inquiries, please use the contact information below: ๐Ÿ“ฉ Email: patcastle6022@gmail.com ๐Ÿ””Subscribe now for intriguing math problems and solutions. https://www.youtube.com/@PKMath1234 ================================= #quadraticequation #jeeadvanced #algebra Disclaimer: I do not accept any liability for any loss or damage incurred by you acting or not acting as a result of watching any of my publications. You acknowledge that you use the information I provide at your own risk. Do your own research. Copyright Notice: This video and my YouTube channel contain dialogue, music, and images that are the property of PK Math. You are authorized to share the video link and channel and embed this video in your website or others as long as a link back to my Youtube Channel is provided. © PK Math

from PK Math https://www.youtube.com/watch?v=ukwvXmYOHRU

Ivy League Math PhD Explains ฯ€

from Dr PK Math Shorts https://www.youtube.com/watch?v=PXxAFSSmGP8