Find the values of k for which the quadratic equation 9x² – 3kx + k = 0 has equal roots.

Question

Find the values of k for which the quadratic equation 9x 2 – 3kx + 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 4 are values of k for which the equation has equal roots.

Find the values of k for which the quadratic equation 9x2 – 3kx + k = 0 has equal roots.