document.write( "Question 1065501: If p - q = 5 and pq = 3, find the value of p² + q².\r
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\n" ); document.write( "I've successfully solved a similar problem:
\n" ); document.write( "r² + s² = 15 and rs = 5, find the positive value of r + s.\r
\n" ); document.write( "\n" ); document.write( "r² + s² = 15
\n" ); document.write( "rs = 5
\n" ); document.write( "2 ⋅ rs = 5 ⋅ 2
\n" ); document.write( "2rs = 10
\n" ); document.write( "r² + 2rs + s² = 25
\n" ); document.write( "(r +s)² = 25
\n" ); document.write( "r + s = 5
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Algebra.Com's Answer #680647 by noname9900(1) $\"\"$ $\"About$

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square both sides\r
\n" ); document.write( "\n" ); document.write( "p ^2 + q ^2 - 2pq = 25
\n" ); document.write( "p ^2 + q ^2 = 25 + 6
\n" ); document.write( "p ^2 + q ^2 = 31 \n" ); document.write( "

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