document.write( "Question 1187927: use a quadratic equation to find two real numbers that satisfy each equation. their sum is 12, and their product is -85 \n" ); document.write( "
Algebra.Com's Answer #818939 by math_helper(2461)\"\" \"About 
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document.write( "x+y = 12    (1)
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document.write( "xy = -85    (2)\r
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document.write( "(1) -->  y = 12-x\r
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document.write( "Substitue this value of y into (2):  
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document.write( "x(12-x) = -85
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document.write( "\"+12x+-+x%5E2+=+-85+\" 
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document.write( "\"+-x%5E2+%2B+12x+%2B+85+=+0+\"
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document.write( "\"+x%5E2+-12x+-85+=+0+\"\r
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document.write( "\"+%28x-17%29%28x%2B5%29+=+0+\"\r
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document.write( "x = 17 and  x = -5  satisfy this, and those are the two numbers.\r
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document.write( "Chack:
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document.write( "-5*17 = -85
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document.write( "and 
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document.write( "17+(-5) = 12
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