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stira [4]
3 years ago
5

Values of k for which the quadratic equation 2x - kx + k 0 has equal roots is

Mathematics
1 answer:
WARRIOR [948]3 years ago
4 0

Answer:

The answer is D.

Step-by-step explanation:

We have to apply Discriminant Law. When a quadratic equation, ax² + bx + c = 0 has equal roots so the discriminant will be 0. Then, you have to substitute the values into the formula :

D =  {b}^{2}  - 4ac

let   \: D = 0 ,a = 2,b = k,c = k

0 =  {k}^{2}  - 4(2)(k)

{k}^{2}  - 8k = 0

k(k - 8) = 0

k = 0

k - 8 = 0

k = 8

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