1958 AHSME Problems/Problem 33

Problem

For one root of $ax^2 + bx + c = 0$ to be double the other, the coefficients $a,\,b,\,c$ must be related as follows:

$\textbf{(A)}\ 4b^2 = 9c\qquad \textbf{(B)}\ 2b^2 = 9ac\qquad \textbf{(C)}\ 2b^2 = 9a\qquad \\ \textbf{(D)}\ b^2 - 8ac = 0\qquad \textbf{(E)}\ 9b^2 = 2ac$

Solution

$\fbox{B}$

1958 AHSC (Problems • Answer Key • Resources)
Preceded by Problem 32	Followed by Problem 34
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1958 AHSME Problems/Problem 33

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