Question

The value/s of ‘k’ for which the quadratic equation 2x² – kx + k = 0 has equal roots is (are):

Options

• 0 only

• 4, 0

• 8 only

• 0, 8

Answer 1

0, 8

Explanation:

For 2x² – kx + k = 0, a = 2, b = –k, c = k. 

Equal roots occur when discriminant = 0:

D = b² – 4ac 

= (–k)² – 4 × 2 × k 

= k² – 8k 

= k(k – 8)

= 0

Hence, k = 0 or k = 8.