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1953 AHSME Problems/Problem 44

Revision as of 21:48, 14 February 2020 by Rayfish (talk | contribs) (Created page with "==Problem== In solving a problem that reduces to a quadratic equation one student makes a mistake only in the constant term of the equation and obtains <math>8</math> and <m...")
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Problem

In solving a problem that reduces to a quadratic equation one student makes a mistake only in the constant term of the equation and obtains $8$ and $2$ for the roots. Another student makes a mistake only in the coefficient of the first degree term and find $-9$ and $-1$ for the roots. The correct equation was:

$\textbf{(A)}\ x^2-10x+9=0 \qquad \textbf{(B)}\ x^2+10x+9=0 \qquad \textbf{(C)}\ x^2-10x+16=0\\ \textbf{(D)}\ x^2-8x-9=0\qquad \textbf{(E)}\ \text{none of these}$

Solution

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