SOLUTION: Given that the roots of x^2+px+q=0 are (alpha) and 4(alpha) show that 4p^2= 25q.

SOLUTION: Given that the roots of x^2+px+q=0 are (alpha) and 4(alpha) show that 4p^2= 25q.

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Question 173792: Given that the roots of x^2+px+q=0 are (alpha) and 4(alpha) show that 4p^2= 25q.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The roots of are and if and only if and are factors of . So:

Hence: and

QED
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