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1958 AHSME Problems/Problem 30 - Revision history
2024-03-28T12:48:02Z
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Timneh: Created page with "== Problem == If <math> xy \equal{} b</math> and <math> \frac{1}{x^2} \plus{} \frac{1}{y^2} \equal{} a</math>, then <math> (x \plus{} y)^2</math> equals: <math> \textbf{(A)}\ (a..."
2014-10-03T10:22:05Z
<p>Created page with "== Problem == If <math> xy \equal{} b</math> and <math> \frac{1}{x^2} \plus{} \frac{1}{y^2} \equal{} a</math>, then <math> (x \plus{} y)^2</math> equals: <math> \textbf{(A)}\ (a..."</p>
<p><b>New page</b></p><div>== Problem ==<br />
If <math> xy \equal{} b</math> and <math> \frac{1}{x^2} \plus{} \frac{1}{y^2} \equal{} a</math>, then <math> (x \plus{} y)^2</math> equals:<br />
<br />
<math> \textbf{(A)}\ (a \plus{} 2b)^2\qquad <br />
\textbf{(B)}\ a^2 \plus{} b^2\qquad <br />
\textbf{(C)}\ b(ab \plus{} 2)\qquad <br />
\textbf{(D)}\ ab(b \plus{} 2)\qquad <br />
\textbf{(E)}\ \frac{1}{a} \plus{} 2b</math><br />
<br />
<br />
== Solution ==<br />
<math>\fbox{}</math><br />
<br />
== See Also ==<br />
<br />
{{AHSME 50p box|year=1958|num-b=29|num-a=31}}<br />
{{MAA Notice}}</div>
Timneh