Question

egu
What is the value of k, if the roots of x² - kx + k = 0 are real
equal?
(A) 0 (B) 4 (C) 0 or 4 (D) 2​

Answer 1

Answer:

The answer will be 0 or 4 (option c).

Step-by-step explanation:

We have given;

x² - kx + k = 0.

Roots are real and equal.

Roots are equal and real when,

b^2 - 4ac = 0. (discrminant or d = 0) (i)

Hence, using eq. (i) and given equation, we can conclude;

( k)^2 - 4(1)(k) = 0;

k^2 - 4k = 0;

(k)(k - 4) = 0;

k = 0 or,

k - 4 = 0;

k = 4

thus, k = 0 or,

k = 4

That's all.