document.write( "Question 1086882: The sum of two number is 7 and the product is negative 60 \n" ); document.write( "
Algebra.Com's Answer #701122 by MathLover1(20849)\"\" \"About 
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\n" ); document.write( "let's two numbers be \"x\" and \"y\"\r
\n" ); document.write( "\n" ); document.write( "if the sum of two number is \"7\", we have\r
\n" ); document.write( "\n" ); document.write( "\"x%2By=7\"...solve for \"x\"\r
\n" ); document.write( "\n" ); document.write( "\"x=7-y\"....eq.1\r
\n" ); document.write( "\n" ); document.write( " and, if the product is \"-60\", we have\r
\n" ); document.write( "\n" ); document.write( "\"x%2Ay=-60\"...solve for \"x\"\r
\n" ); document.write( "\n" ); document.write( "\"x=-60%2Fy\"....eq.2\r
\n" ); document.write( "\n" ); document.write( "from eq.1 and eq.2 we have\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"7-y=-60%2Fy\"\r
\n" ); document.write( "\n" ); document.write( "\"7y-y%5E2=-60\"\r
\n" ); document.write( "\n" ); document.write( "\"y%5E2-7y-60=0\"....factor\r
\n" ); document.write( "\n" ); document.write( "\"y%5E2-12y%2B5y-60=0\"\r
\n" ); document.write( "\n" ); document.write( "\"%28y%5E2-12y%29%2B%285y-60%29=0\"\r
\n" ); document.write( "\n" ); document.write( "\"y%28y-12%29%2B5%28y-12%29=0\"\r
\n" ); document.write( "\n" ); document.write( "\"%28y+-+12%29%28y+%2B+5%29+=+0\"\r
\n" ); document.write( "\n" ); document.write( "solutions:\r
\n" ); document.write( "\n" ); document.write( "\"%28y+-+12%29+=+0\"=>\"y=12\"
\n" ); document.write( "\"%28y+%2B+5%29+=+0\"=>\"y=-5\"\r
\n" ); document.write( "\n" ); document.write( "now find \"x\":\r
\n" ); document.write( "\n" ); document.write( "\"x=7-y\"....eq.1...if \"y=12\"\r
\n" ); document.write( "\n" ); document.write( "\"x=7-12\"
\n" ); document.write( "\"x=-5\"\r
\n" ); document.write( "\n" ); document.write( "\"x=7-y\"....eq.1...if \"y=-5\"\r
\n" ); document.write( "\n" ); document.write( "\"x=7-%28-5%29\"
\n" ); document.write( "\"x=7%2B5\"
\n" ); document.write( "\"x=12\"\r
\n" ); document.write( "\n" ); document.write( "so, you can choose \"x=-5\" and \"y=12\" or \"x=12\" and \"y=-5\"\r
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