If and -3 are roots of the equation px 2 + 7x + q = 0, find the values of p and q .

The given equation is px 2 + 7x + q = 0. As is a root of the equation, so x = satisfies the given equation. Substituting x = in the given equation: Also -3 is a root of the given equation, so x = -3 satisfies the given equation. Substituting x = -3 in the given equation: Putting value of q from eqn (i) into eqn (ii) Taking 9 as the LCM Substituting p = 3 in (i), we get Hence, p = 3 and q = -6