document.write( "Question 1133746: the squarqe of the sum of two numbers is 144 and the sum of their squares is 80. find the number \n" ); document.write( "
Algebra.Com's Answer #751000 by Alan3354(69443)\"\" \"About 
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the squarqe of the sum of two numbers is 144 and the sum of their squares is 80. find the number
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\n" ); document.write( "(x + y)^2 = 144
\n" ); document.write( "x^2 + y^2 = 80
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\n" ); document.write( "x + y = 12 ---> y = 12 - x
\n" ); document.write( "x^2 + y^2 = 80
\n" ); document.write( "x^2 + (12-x)^2 = 80
\n" ); document.write( "2x^2 - 24x + 64 = 0
\n" ); document.write( "x^2 - 12x + 32 = 0
\n" ); document.write( "x = 4, x = 8
\n" ); document.write( "y = 8, y = 4
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\n" ); document.write( "x + y = -12 ---> y = -12 - x
\n" ); document.write( "x^2 + y^2 = 80
\n" ); document.write( "x^2 + (-12-x)^2 = 80
\n" ); document.write( "2x^2 + 24x + 64 = 0
\n" ); document.write( "x^2 + 12x + 32 = 0
\n" ); document.write( "x = -4, x = -8
\n" ); document.write( "y = -8, y = -4
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\n" ); document.write( "One number is + or -4, the other is + or -8,
\n" ); document.write( "and the absolute value of the sum is 12.\r
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