1958 AHSME Problems/Problem 30
Problem
If $xy \equal{} b$ (Error compiling LaTeX. Unknown error_msg) and $\frac{1}{x^2} \plus{} \frac{1}{y^2} \equal{} a$ (Error compiling LaTeX. Unknown error_msg), then $(x \plus{} y)^2$ (Error compiling LaTeX. Unknown error_msg) equals:
$\textbf{(A)}\ (a \plus{} 2b)^2\qquad \textbf{(B)}\ a^2 \plus{} b^2\qquad \textbf{(C)}\ b(ab \plus{} 2)\qquad \textbf{(D)}\ ab(b \plus{} 2)\qquad \textbf{(E)}\ \frac{1}{a} \plus{} 2b$ (Error compiling LaTeX. Unknown error_msg)
Solution
See Also
| 1958 AHSC (Problems • Answer Key • Resources) | ||
| Preceded by Problem 29 |
Followed by Problem 31 | |
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