Given equation is

Comparing with standard quadratic equation ax² + bx + c = 0

Given that the roots of equation are real and equal

Thus D = 0

Discriminant D = b² – 4ac = 0

20k² – 40k = 0

20k(k – 2) = 0

20k = 0 or (k – 2) = 0

k = 0 or k = 2

The values of k are 0, 2 for which roots of the quadratic equation are real and equal.