Hello can someone direct me the way to generate the answers.
I started solving by setting the equations as 1-k-x = kx^2+X+2k because the tangent and curve intersect at one point. Then I try to solve it by forming b^2- 4ac = 0. But the answer looks odd to me. Therefore, I want to justify whether my method is right or not.
![Screenshot_2024_0527_003203.png Screenshot_2024_0527_003203.png](https://www.freemathhelp.com/forum/data/attachments/35/35271-8e2a13bae5971ed4445dd7dcf94f0d7f.jpg)
I started solving by setting the equations as 1-k-x = kx^2+X+2k because the tangent and curve intersect at one point. Then I try to solve it by forming b^2- 4ac = 0. But the answer looks odd to me. Therefore, I want to justify whether my method is right or not.
![Screenshot_2024_0527_003203.png Screenshot_2024_0527_003203.png](https://www.freemathhelp.com/forum/data/attachments/35/35271-8e2a13bae5971ed4445dd7dcf94f0d7f.jpg)