document.write( "Question 1065509: If (a - b)² = 5 and ab = 1, find the positive value of a + b.\r
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\n" ); document.write( "I've successfully solved similar problems with addition of squares, but not a difference of squares.
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Algebra.Com's Answer #680650 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
\"%28a-b%29%5E2=a%5E2-2ab%2Bb%5E2\"
\n" ); document.write( "\"%28a%2Bb%29%5E2=a%5E2%2B2ab%2Bb%5E2\"
\n" ); document.write( "So,
\n" ); document.write( "\"%28a%2Bb%29%5E2-%28a-b%29%5E2=a%5E2%2B2ab%2Bb%5E2-%28a%5E2-2ab%2Bb%5E2%29\"
\n" ); document.write( "\"%28a%2Bb%29%5E2-%28a-b%29%5E2=4ab\"
\n" ); document.write( "Substituting,
\n" ); document.write( "\"%28a%2Bb%29%5E2-5=4%281%29\"
\n" ); document.write( "\"%28a%2Bb%29%5E2=9\"
\n" ); document.write( "\"a%2Bb=0+%2B-+3\"
\n" ); document.write( "So the positive value is 3.
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