Uploaded January 2022 | Updated September 2026, 1 week ago
How many tangent lines are there to two intersecting ellipses? Intuitively there should be four, but why? Here a solution that uses no calculus whatsoever, just pure algebra, suitable for high school and algebra 2 students. It's a very nice application of the quadratic equation, followed by systems of equations. This video was inspired by a TikTok post.
YT channel: youtube.com/drpeyam
TikTok channel: tiktok.com/@drpeyam
Instagram: instagram.com/peyamstagram
Twitter: twitter.com/drpeyam
Teespring merch: teespring.com/stores/dr-peyam
How many tangent lines are there to two intersecting ellipses? Intuitively there should be four, but why? Here a solution that uses no calculus whatsoever, just pure algebra, suitable for high school and algebra 2 students. It's a very nice application of the quadratic equation, followed by systems of equations. This video was inspired by a TikTok post.
YT channel: youtube.com/drpeyam
TikTok channel: tiktok.com/@drpeyam
Instagram: instagram.com/peyamstagram
Twitter: twitter.com/drpeyam
Teespring merch: teespring.com/stores/dr-peyam










