document.write( "Question 834191: The difference of the squares of two positive consecutive even integers is 44. Find the integers.
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Algebra.Com's Answer #502910 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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The difference of the squares of two positive consecutive even integers is 44. Find the integers.
\n" ); document.write( "Two even integers: n, (n+2)
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\n" ); document.write( "(n+2)^2 - n^2 = 44
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\n" ); document.write( "n^2 + 4n + 4 - n^2 = 44
\n" ); document.write( "combine like terms
\n" ); document.write( "4n = 44 - 4
\n" ); document.write( "n = 40/4
\n" ); document.write( "n = 10 and 12 are the integers
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\n" ); document.write( "144 - 100 = 44 \n" ); document.write( "

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