document.write( "Question 575626: The product of sum of the two numbers and the sum of squares of these numbers is 5500 and product of difference of these numbers and difference of the squares of the same is 352.Find these numbers... \n" ); document.write( "

Algebra.Com's Answer #369580 by JBarnum(2146) $\"\"$ $\"About$

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\n" ); document.write( "two numbers a and b
\n" ); document.write( "first equation:
\n" ); document.write( "the sum is adding them together $\"a%2Bb\"$
\n" ); document.write( "sum of the squares of each is same thing $\"sqrt%28a%29%2Bsqrt%28b%29\"$
\n" ); document.write( "the product of both sums is $\"%28a%2Bb%29%28sqrt%28a%29%2Bsqrt%28b%29%29\"$
\n" ); document.write( "this is set equal to 5500 so $\"%28a%2Bb%29%28sqrt%28a%29%2Bsqrt%28b%29%29=5500\"$
\n" ); document.write( "second equation:
\n" ); document.write( "difference of these numbers $\"a-b\"$
\n" ); document.write( "difference of the squares of the same $\"sqrt%28a%29-sqrt%28b%29\"$
\n" ); document.write( "product of the difference of these numbers and difference of the squares of the same $\"%28a-b%29%28sqrt%28a%29-sqrt%28b%29%29\"$
\n" ); document.write( "this is set equal to 352 so $\"%28a-b%29%28sqrt%28a%29-sqrt%28b%29%29=352\"$
\n" ); document.write( ".
\n" ); document.write( "so the 2 equations you are working with are:
\n" ); document.write( " $\"%28a%2Bb%29%28sqrt%28a%29%2Bsqrt%28b%29%29=5500\"$
\n" ); document.write( " $\"%28a-b%29%28sqrt%28a%29-sqrt%28b%29%29=352\"$ \r
\n" ); document.write( "\n" ); document.write( "going to lunch brb to finnish\r
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