document.write( "Question 1210241: what two numbers multiply to -16 and add to 15
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Algebra.Com's Answer #851732 by MathLover1(20849) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "let two numbers be $\"x\"$ and $\"y\"$ \r
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\n" ); document.write( "\n" ); document.write( "if two numbers multiply to $\"-16\"$ , we have\r
\n" ); document.write( "\n" ); document.write( " $\"x%2Ay=-16\"$ ..........solve for $\"x\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=-16%2Fy\"$ ............eq.1\r
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\n" ); document.write( "\n" ); document.write( "if two numbers add to $\"15\"$ , we have\r
\n" ); document.write( "\n" ); document.write( " $\"x%2By=15\"$ .........eq.2..............substitute $\"x+\"$ from eq.1\r
\n" ); document.write( "\n" ); document.write( " $\"-16%2Fy%2By=15\"$ .........multiply by $\"+y\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"-16%2By%5E2=15y\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y%5E2-15y-16=0\"$ ......factor\r
\n" ); document.write( "\n" ); document.write( " $\"y%5E2%2By-16y-16=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28y%5E2%2By%29-%2816y%2B16%29=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y%28y%2B1%29-16%28y%2B1%29=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28y+-+16%29+%28y+%2B+1%29+=+0\"$ \r
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\n" ); document.write( "\n" ); document.write( "solutions:\r
\n" ); document.write( "\n" ); document.write( " $\"y=16\"$ or $\"y=-1\"$ \r
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\n" ); document.write( "\n" ); document.write( "then\r
\n" ); document.write( "\n" ); document.write( " $\"x=-16%2Fy=-16%2F16=-1\"$ \r
\n" ); document.write( "\n" ); document.write( "or\r
\n" ); document.write( "\n" ); document.write( " $\"x=-16%2F-1=16\"$ \r
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\n" ); document.write( " $\"x=-1\"$
\n" ); document.write( " $\"y=16\"$ \r
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\n" ); document.write( "\n" ); document.write( "or
\n" ); document.write( " $\"x=16\"$
\n" ); document.write( " $\"y=-1\"$ \r
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