document.write( "Question 174924: The product of two consecutive even integers decreased by seven times the greater integer is 70. Find the two integers.\r
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document.write( "I started the problem off this way:
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document.write( "but now I'm lost, clearly. It looks like I'll be going into a degree of three, which doesn't make sense.\r
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document.write( "If you could perhaps show me where I went wrong, I'd really appreciate it. Thanks. \n" );
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Algebra.Com's Answer #129981 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! The product of two consecutive even integers decreased by seven times the greater integer is 70. Find the two integers. \n" ); document.write( ". \n" ); document.write( "Let x = 1st consecutive event integer \n" ); document.write( "then \n" ); document.write( "x+2 = 2nd consecutive even integer \n" ); document.write( ". \n" ); document.write( "x(x+2) - 7(x+2) = 70 \n" ); document.write( "x^2+2x - 7x-14 = 70 \n" ); document.write( "x^2- 5x-14 = 70 \n" ); document.write( "x^2- 5x-84 = 0 \n" ); document.write( "(x-12)(x+7) = 0 \n" ); document.write( "x = {12,-7} \n" ); document.write( "Tossing out the odd solution, we're left with: \n" ); document.write( "x = 12 (1st even integer) \n" ); document.write( ". \n" ); document.write( "x+2 = 12+2 = 14 (2nd even integer) \n" ); document.write( " |