Find the values of k so that the quadratic equation x² – 4kx + k = 0 has equal roots.

Question

Find the values of k so that the quadratic equation x 2 – 4kx + k = 0 has equal roots.

Philoid · Accepted Answer

Given that the quadratic equation has equal roots

Comparing with general equation, for the given equation

Hence

Hence 0 and are values of k for which the equation has equal roots.

Find the values of k so that the quadratic equation x2 – 4kx + k = 0 has equal roots.