Question

if one root of px^2-qx+r=0 is square of the other then the condition
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Answer 1

Answer:

let α,β be roots of given eq^n then

(α+β)=(−q/p) & αβ=(r/p),(α=3β)

⇒4β = −q/p

⇒ 16β² = q² /p² and 3β² =r/p

$⇒β2=( \frac{r}{3p} )$

$16( \frac{r}{3p} )$

$= \frac{ {q}^{2} }{ {p}^{2} } \boxed{⇒3q2=16pr }$