document.write( "Question 1078421: Which two integers would make each true?\r
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document.write( "A) the sum of the integers is 23 less than the product
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document.write( "B) the sum of the integers is 28 more than the product
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document.write( "C) the sum of the integers is 73 more than the product \n" );
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Algebra.Com's Answer #802279 by CubeyThePenguin(3113) You can put this solution on YOUR website! two integers are x and y\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a) x + y = xy - 23 \n" ); document.write( "0 = xy - x - y - 23 \n" ); document.write( "24 = (x-1)(y-1)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x-1=4, y-1=6, so the two integers are 5 and 7\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "b) x + y = xy -28 \n" ); document.write( "0 = xy - x - y - 28 \n" ); document.write( "29 = (x-1)(y-1)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x-1=1, y-1=29, so the two integers are 2 and 30\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "c) x + y = xy - 73 \n" ); document.write( "0 = xy - x - y - 73 \n" ); document.write( "74 = (x-1)(y-1)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x-1 = 2, y-1 = 39, so the two integers are 3 and 40\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Note that these are not the only possible solutions for the integers. To learn more, look up \"Simon's Favorite Factoring Trick.\" \n" ); document.write( " |