document.write( "Question 585590: The product of two consecutive even integers is 528. Find the integers. \n" ); document.write( "

Algebra.Com's Answer #373406 by josmiceli(19441) $\"\"$ $\"About$

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Call the consecutive even integers
\n" ); document.write( " $\"+n+\"$ , and $\"+n+%2B+2+\"$
\n" ); document.write( "given:
\n" ); document.write( " $\"+n%2A%28+n+%2B+2+%29+=+528+\"$
\n" ); document.write( " $\"+n%5E2+%2B+2n+=+528+\"$
\n" ); document.write( "Complete the square
\n" ); document.write( " $\"+n%5E2+%2B+2n+%2B+%282%2F2%29%5E2+=+528+%2B+%282%2F2%29%5E2+\"$
\n" ); document.write( " $\"++n%5E2+%2B+2n+%2B+1+=+528+%2B+1+\"$
\n" ); document.write( " $\"+%28+n+%2B+1+%29%5E2+=+529+\"$
\n" ); document.write( " $\"+%28+n+%2B+1+%29%5E2+=+23%5E2+\"$
\n" ); document.write( " $\"+n+%2B1+=+23+\"$
\n" ); document.write( " $\"+n+=+22+\"$
\n" ); document.write( " $\"+n+%2B+2+=+24+\"$
\n" ); document.write( "The numbers are 22, and 24
\n" ); document.write( "check
\n" ); document.write( " $\"+22%2A24+=+528+\"$
\n" ); document.write( "OK \n" ); document.write( "

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