document.write( "Question 750278: the sum of two numbers is 25 and their product is 144. what are the numbers? \n" ); document.write( "

Algebra.Com's Answer #456478 by FrankM(1040) $\"\"$ $\"About$

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X+Y=25\r
\n" ); document.write( "\n" ); document.write( "X*Y=144\r
\n" ); document.write( "\n" ); document.write( "from first equation, Y=25-X so\r
\n" ); document.write( "\n" ); document.write( "X(25-X)=144\r
\n" ); document.write( "\n" ); document.write( "25X-X^2=144\r
\n" ); document.write( "\n" ); document.write( "X^2-25X+144=0\r
\n" ); document.write( "\n" ); document.write( "Quadratic equation $\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"x+=+%2825+%2B-+sqrt%28+25%5E2-4%2A1%2A144+%29%29%2F%282%29+\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"x+=+%2825+%2B-+sqrt%2849%29%29%2F%282%29+\"$ \r
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\n" ); document.write( "\n" ); document.write( "= (25+7)/2 or (25-7)/2\r
\n" ); document.write( "\n" ); document.write( "16 and 9 are the two numbers.\r
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