If the equation $x^{2} - p x + 216 = 0$ has one root as a square of the other, find the value of p

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-30

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Solution

The correct option is C
42

Let the roots of the equation be $α, α^{2}$
$α$ X $α^{2}$ = 216 [product of roots]
$α^{3}$ = 216
or
$α = 6$
$\Rightarrow$ 6, 36 are the roots
P = 36 are the roots
=42

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