# 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