document.write( "Question 197327: Find two real numbers that have a sum of 8 and a product of 2. \n" ); document.write( "
Algebra.Com's Answer #147981 by ankor@dixie-net.com(22740)\"\" \"About 
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Find two real numbers: x and y:
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\n" ); document.write( " that have a sum of 8
\n" ); document.write( "x + y = 8
\n" ); document.write( "y = (8-x); use for substitution
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\n" ); document.write( " and a product of 2.
\n" ); document.write( "x*y = 2
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\n" ); document.write( "Replace y with (8-x) in the above equation:
\n" ); document.write( "x(8-x) = 2
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\n" ); document.write( "8x - x^2 = 2
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\n" ); document.write( "-x^2 + 8s - 2 = 0
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\n" ); document.write( "Use the quadratic formula to find x
\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "In this equation; a=-1; b=8; c=-2
\n" ); document.write( "\"x+=+%28-8+%2B-+sqrt%288%5E2+-+4+%2A+-1+%2A+-2+%29%29%2F%282%2A-1%29+\"
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\n" ); document.write( "\"x+=+%28-8+%2B-+sqrt%2864+-+8+%29%29%2F%28-2%29+\"
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\n" ); document.write( "\"x+=+%28-8+%2B-+sqrt%2856+%29%29%2F%28-2%29+\"
\n" ); document.write( "Two solutions:
\n" ); document.write( "\"x+=+%28-8+%2B+7.4833%29%2F%28-2%29+\"
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\n" ); document.write( "\"x+=+%28-.5167%29%2F%28-2%29+\"
\n" ); document.write( "x = +.258; then y =7.742
\n" ); document.write( "and
\n" ); document.write( "\"x+=+%28-8+-+7.4833%29%2F%28-2%29+\"
\n" ); document.write( ":
\n" ); document.write( "\"x+=+%28-15.4833%29%2F%28-2%29+\"
\n" ); document.write( "x = +7.742; then y = .258
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\n" ); document.write( "You can check these solutions in the original problem\r
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