If $ax^{2} + bx + c = 0,a
eq 0$ be an equation with integral coefficients and $D 0$ be its di

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If $ax^{2} + bx + c = 0,a 
eq 0$ be an equation with integral coefficients and $D > 0$ be its discriminant. Then the equation $b^{2}x^{2} - Dx - 4ac = 0$ must have

Accepted Answer

$f(x) = b^{2}x^{2} - Dx - 4ac$$$\begin{matrix} f(1) = b^{2} - 4ac - D = 0 \ 	ext{~other root~} = \frac{c}{a}	ext{~which is also rational~} \ 	herefore\ 	ext{~roots of~}f(x) = 0	ext{~are~}1	ext{~and~}\frac{c}{a} \end{matrix}$$

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