document.write( "Question 94156: I am having some problems with this problems\r
\n" ); document.write( "\n" ); document.write( "The product of two consecutive postive even integers is 288. Find the integers\r
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Algebra.Com's Answer #68565 by Earlsdon(6294)\"\" \"About 
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Let x = the first positive even integer, then x+2 is the next consecutive positive integer. The product of these two = 288. So we can set up the equation to solve for x:
\n" ); document.write( "\"x%28x%2B2%29+=+288\" Apply the distributive property to the left side.
\n" ); document.write( "\"x%5E2%2B2x+=+288\" Subtract 288 from both sides.
\n" ); document.write( "\"x%5E2%2B+2x-288+=+0\" Factor the left side.
\n" ); document.write( "\"%28x-16%29%28x%2B18%29+=+0\" Apply the zero products principle.
\n" ); document.write( "\"x-16+=+0\" or \"x%2B18+=+0\" so...
\n" ); document.write( "x = 16 or x = -18 but you want the positive integer only, so...
\n" ); document.write( "x = 16 this is the first positive even integer.
\n" ); document.write( "x+2 = 18 This is the next consecutive positive even integer.\r
\n" ); document.write( "\n" ); document.write( "Check:\r
\n" ); document.write( "\n" ); document.write( "(16)(18) = 288
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