document.write( "Question 516563: The product of two consecutive even integers is 6 more than three times their sum .find the integers
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Algebra.Com's Answer #344403 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The product of two consecutive even integers \n" ); document.write( "is 6 more than three times their sum. \n" ); document.write( "find the integers \n" ); document.write( "============================ \n" ); document.write( "1st: 2x \n" ); document.write( "2nd: 2x+2 \n" ); document.write( "----- \n" ); document.write( "Equation: \n" ); document.write( "(2x)(2x+2) = 3(2x + 2x+2) + 6 \n" ); document.write( "4x^2+4x = 3(4x+2) + 6 \n" ); document.write( "4x^2+4x = 12x + 12 \n" ); document.write( "4x^2 - 8x -12 = 0 \n" ); document.write( "--- \n" ); document.write( "x^2 - 2x -3 = 3 \n" ); document.write( "----- \n" ); document.write( "(x-3)(x+1) = 0 \n" ); document.write( "x = 3 or x = -1 \n" ); document.write( "---- \n" ); document.write( "Positive solution: \n" ); document.write( "1st 2*3 = 6 \n" ); document.write( "2nd: 2x+2 = 8 \n" ); document.write( "=================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "===================\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |