For which value of does the quadratic have real roots whose sum is ?

MATHEMATICS · Single correct · AoPS · Mathematics · Quadratic Equations - Part 1 · Quadratic Equations - Part 1

Problem

For which value of

k

does the quadratic

(k+1)x^2-5x+k=0

have real roots whose sum is

5

? (a)

-2

(b)

1

(c)

0

(d)

-\dfrac{1}{2}