document.write( "Question 1072669: the sum of the squares of two numbers is 65 and the squares
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Algebra.Com's Answer #687497 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "I changed the numbers.  But the steps are the same.  \r\n" );
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document.write( "\"system%28x%5E2%2By%5E2=45%2C%28x%2By%29%5E2=81%29\"\r\n" );
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document.write( "\"%28x%2By%29%5E2=81%29\"\r\n" );
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document.write( "\"x%5E2%2B2xy%2By%5E2=81%29\"\r\n" );
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document.write( "\"x%5E2%2By%5E2%2B2xy=81%29\"\r\n" );
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document.write( "\"%28x%5E2%2By%5E2%29%2B2xy=81%29\"\r\n" );
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document.write( "Substitute 45 from the other equation for x2+y2:\r\n" );
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document.write( "\"45%2B2xy=81%29\"\r\n" );
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document.write( "\"2xy=36\"\r\n" );
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document.write( "\"xy=18\"\r\n" );
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document.write( "\"y=18%2Fx\"\r\n" );
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document.write( "Substitute in \r\n" );
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document.write( "\"x%5E2%2By%5E2=45\"\r\n" );
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document.write( "\"x%5E2%2B%2818%2Fx%29%5E2=45\"\r\n" );
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document.write( "\"x%5E2%2B324%2Fx%5E2=45\"\r\n" );
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document.write( "\"x%5E4%2B324=45x%5E2\"\r\n" );
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document.write( "\"x%5E4-45x%5E2%2B324=0\"\r\n" );
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document.write( "\"%28x%5E2-9%29%28x%5E2-36%29=0\"\r\n" );
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document.write( "\"%28x-3%29%28x%2B3%29%28x-6%29%28x%2B6%29=0\"\r\n" );
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document.write( "x-3=0; x+3=0;  x-6=0;  x+6=0\r\n" );
document.write( "  x=3;   x=-3;   x=6;   x=-6\r\n" );
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document.write( "Use this as a model to do yours.\r\n" );
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document.write( "Edwin
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