document.write( "Question 958059: Find two numbers whose product is 156 if the sum of their squares is 313. Show your work. \n" ); document.write( "
Algebra.Com's Answer #585576 by Fombitz(32388)\"\" \"About 
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\"A%2AB=156\"
\n" ); document.write( "\"A%5E2%2BB%5E2=313\"
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\n" ); document.write( "\"%28A%2BB%29%5E2=A%5E2%2B2AB%2BB%5E2=313%2B2%28156%29=625\"
\n" ); document.write( "1.\"A%2BB=25\"
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\n" ); document.write( "\"%28A-B%29%5E2=A%5E2-2AB%2BB%5E2=313-2%28156%29=1\"
\n" ); document.write( "2.\"A-B=1\"
\n" ); document.write( "Adding eq. 1 and 2,
\n" ); document.write( "\"A%2BB%2BA-B=25%2B1\"
\n" ); document.write( "\"2A=26\"
\n" ); document.write( "\"A=13\"
\n" ); document.write( "and
\n" ); document.write( "\"13%2BB=25\"
\n" ); document.write( "\"B=12\"
\n" ); document.write( "The two numbers are 12 and 13.
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\n" ); document.write( "We could have also taken the negative square root.
\n" ); document.write( "3.\"A%2BB=-25\"
\n" ); document.write( "4.\"A-B=-1\"
\n" ); document.write( "\"2A=-26\"
\n" ); document.write( "\"A=-13\"
\n" ); document.write( "\"-13%2AB=156\"
\n" ); document.write( "\"B=-12\"
\n" ); document.write( "The two numbers are also -12 and -13.
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