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

Q45 of 293 Page 503

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

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.

If the roots of the quadratic equation px(x – 2) + 6 = 0 are equal, find the value of p.

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

Solve:

Solve: 2x² + ax – a² = 0