Question

The value of k for which the equation 8x² − kx + k = 0 has equal roots, is ______.

Options

• 16

• 32 only

• 0, 32

• −16

Answer 1

The value of k for which the equation 8x² − kx + k = 0 has equal roots, is 0, 32.

Explanation:

Given:

8x² − kx + k = 0

A quadratic ax² + bx + c = 0 has equal roots when:

b² − 4ac = 0

a = 8, b = −k, c = k

(−k)² − 4(8) (k) = 0

k² − 32k = 0

k(k − 32) = 0

k = 0 or k = 32