The value of p for which one root of the equation x2-30x+p=0 is the square of the other, are

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125 only

125 and -216

125 and 215

216 only

answer is B.

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Detailed Solution

α+α2=30 and α3=pα2+α-30=0⇒(α+6)(α-5)=0⇒α=-6, 5∴p=α3=(-6)3=-216 and p=(5)3=125p=125 and -216

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