CORRECTED VERSION

1. Square both sides of the equation to get:

2. Set the equation = 0

3. Factor x from the two middle terms:

4. Find the discriminant. From the quadratic formula, the discriminant is what's under the radical, namely:

You can determine the nature of the roots by inspecting the discriminant (D). If D=0, then you have one real root; if D>0, then you have 2 real roots, and if D<0, you have no real roots.

I found the discriminant to be:

5. Simplifying:

Made an error.....correcting here

If D=0, then k=2, meaning you have one real root.

If D>0, then 0<k<2, meaning you have two real roots.