document.write( "Question 1135119: What two numbers add to get 6, and multiplies to get -86? \n" ); document.write( "

Algebra.Com's Answer #752668 by Edwin McCravy(20055) $\"\"$ $\"About$

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Let answers be x and y.\r\n" );
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document.write( "To add them, put a plus sign \"+\" between them,like this: x+y\r\n" );
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document.write( "\"To get 6\", you write \"= 6\" after it, like this:  x+y = 6\r\n" );
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document.write( "To multiply them, putting a multiplication symbol (dot) \"∙\" between them,like this:  x∙y\r\n" );
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document.write( "\"To get -86\", you write \"= -86\" after it:  x∙y = 6\r\n" );
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document.write( "x+y=6\r\n" );
document.write( "x∙y=-86\r\n" );
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document.write( "To solve that you solve the first equation for one of the letters, say, y:\r\n" );
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document.write( "x+y=6\r\n" );
document.write( "  y=6-x\r\n" );
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document.write( "Now you substitute (6-x) in parentheses for x in the other equation \r\n" );
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document.write( "      x∙y=-86\r\n" );
document.write( "  x∙(6-x)=-86\r\n" );
document.write( "    6x-x²=-86\r\n" );
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document.write( "Get 0 on the right by adding 86 to both sides:\r\n" );
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document.write( " 6x-x²+86=0\r\n" );
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document.write( "Write the terms of the left side in descending order:\r\n" );
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document.write( "-x²+6x+86=0\r\n" );
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document.write( "We want the x² term to be positive so we multiply every term on\r\n" );
document.write( "both sides by -1:\r\n" );
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document.write( " x²-6x-86=0\r\n" );
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document.write( "That does not factor, so we use the quadratic formula:\r\n" );
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document.write( "a = 1, b =-6, c = -86\r\n" );
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document.write( "You finish:\r\n" );
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document.write( "Answer: , \r\n" );
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document.write( "Edwin

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