document.write( "Question 1173197: What is the sum of x+y, where x and y are positive integers and (x^2)(x-y) = 3703? \n" ); document.write( "

Algebra.Com's Answer #798373 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "The prime decomposition of the number 3703 is   3703 = 7*23^2.\r\n" );
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document.write( "Comparing it with the formula  3703 = (x^2)*(x-y), you conclude that\r\n" );
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document.write( "    x = 23,  x - y = 7,\r\n" );
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document.write( "which implies  x = 23,  y = x + 7 = 23+7 = 30.    ANSWER\r\n" );
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