document.write( "Question 159567: The product of two consecutive even positive integers is one hundred twenty. Find the two integers. \n" ); document.write( "
Algebra.Com's Answer #117669 by jim_thompson5910(35256)\"\" \"About 
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Remember consecutive even integers follow the pattern \"x\", \"x%2B2\", \"x%2B4\", etc.\r
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\n" ); document.write( "\n" ); document.write( "Since \"product of two consecutive even positive integers is one hundred twenty\", this means that \"x%28x%2B2%29=120\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%28x%2B2%29=120\" Start with the given equation\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2%2B2x=120\" Distribute\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2%2B2x-120=0\" Subtract 120 from both sides\r
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\n" ); document.write( "\n" ); document.write( "\"%28x%2B12%29%28x-10%29=0\" Factor\r
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\n" ); document.write( "\n" ); document.write( "\"x%2B12=0\" or \"x-10=0\" Set each factor equal to zero\r
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\n" ); document.write( "\n" ); document.write( "\"x=-12\" or \"x=10\" Solve for \"x\" in each case.\r
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\n" ); document.write( "\n" ); document.write( "So the two numbers are 10 and 12 (since we're only looking for positive integers)\r
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