Question

which of the following is the value of k if the roots of xsqare + kx+k=0are real and equal​

Answer 1

Answer:

k = 4

Step-by-step explanation:

In the quadratic equation ax² + bx + c = 0

If b² - 4ac = 0, the roots are real and equal

The given equation is:

x² + kx + k = 0

Comparing it with standard form,

a = 1, b = k, c = k

b² - 4ac = 0

=> k² - 4(1)(k) = 0

=> k² - 4k = 0

=> k(k - 4) - 0

k = 4 or k = 0

k cannot be equal to zero, hence k = 4