If the ratio of the roots of the equation x2 + px + q = 0 are equal to the ratio of the roots of the equation x2 + bx + c = 0, then prove that p2c = b2q.
Let α, β be the roots of x2 + px + q = 0 and γ, δ be the roots of the equation x2 + bx + c = 0. Then,
α + β = – p, αβ = q
γ + δ = – b, γδ = c
