43

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

Given that the roots of the quadratic equation are equal

Comparing with general equation, for the given equation

Hence

4p(p-6) = 0

4p = 0 or (p-6) = 0

p = 0 or p = 6

Putting p = 0 in equation given we get 6 = 0 that is not possible

Hence value of p = 6 for which the equation has equal roots.

43

44

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