Question

If
$\alpha \: \: and \: \beta \: are \: the \: roots \: of \: eqn \: \\ a {x}^{2} + bx + c = 0 \\ then \\ \sqrt{ \frac{ \alpha }{ \beta } } + \sqrt{ \frac{ \beta }{ \alpha } } =$
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Answer 1

Step-by-step explanation:

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Answer 2

Let y=x^2⇒x=√y

putting √yin the given equation

ay+b√y+c=0⇒by√=−ay−c

⇒b2y=a2y2+c2+2acy

⇒a2y2−(b2−2ac)y+c2=0

So the required quadratic equation is a2x2−(b2−2ac)x+c2=0.

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