If the roots of the quadratic equation 2x2 + 8x + k = 0 are equal then find the value of k.
The roots of the quadratic equation 2x2 + 8x + k = 0 are equal then D = 0
a = 2 b = 8 c = k
D = b2 - 4ac = 0
= 82 - 4.2.k = 0
= 64 - 8k = 0
8k = 64
k = 8