The equation x^2+(k+2)x+2k=0.

Question

The equation x^2+(k+2)x+2k=0 has two distinct real roots. 

Find the possible values of k. 

Answer 1

To have two distinct real roots the discriminant must be > 0.

 

(k + 2)² - 4(1)(2k) > 0

 

Can you solve for k and answer?