How do you find the set of values for k which the line x+3y=k intersects the curve y^2=2x+3 at 2 real and distinct points?
1 Answer
Oct 4, 2015
I found
Explanation:
We can try taking the first equation and substitute for
Rearranging:
We use the Quadratic Formula to solve for
To be real and distinct we need the argument of the square root to be