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Question: The ratio of the roots of x<sup>2</sup> + bx + c = 0 is the same as that of the roots of x<sup>2</su...

The ratio of the roots of x2 + bx + c = 0 is the same as that of the roots of x2 + qx + r = 0. Then

A

br2 = qc2

B

cr2 = qb2

C

rc2 = bq2

D

rb2 = cq2

Answer

rb2 = cq2

Explanation

Solution

αβ\frac{\alpha}{\beta} = γδ\frac{\gamma}{\delta} given Ž αβ(α+β)2\frac{\alpha\beta}{(\alpha + \beta)^{2}} = γδ(γ+δ)2\frac{\gamma\delta}{(\gamma + \delta)^{2}}

cb2\frac{c}{b^{2}} = rq2\frac{r}{q^{2}} Ž q2c = b2r