document.write( "Question 178286: Three consecutive even integers are such that the square of the third is 100 more than the square of the second. Find the three integers. \n" ); document.write( "

Algebra.Com's Answer #133245 by josmiceli(19441) $\"\"$ $\"About$

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Call the consecutive even integers
\n" ); document.write( " $\"n\"$ , $\"n+%2B+2\"$ , and $\"n%2B4\"$
\n" ); document.write( "given:
\n" ); document.write( " $\"%28n+%2B+4%29%5E2+=+%28n+%2B+2%29%5E2+%2B+100\"$
\n" ); document.write( "--------
\n" ); document.write( " $\"n%5E2+%2B+8n+%2B+16+=+n%5E2+%2B+4n+%2B+4+%2B+100\"$
\n" ); document.write( " $\"4n+=+104+-+16\"$
\n" ); document.write( " $\"4n+=+88\"$
\n" ); document.write( " $\"n+=+22\"$
\n" ); document.write( " $\"n+%2B+2+=+24\"$
\n" ); document.write( " $\"n+%2B+4+=+26\"$
\n" ); document.write( "The numbers are 22,24, and 26
\n" ); document.write( "check:
\n" ); document.write( " $\"%28n+%2B+4%29%5E2+=+%28n+%2B+2%29%5E2+%2B+100\"$
\n" ); document.write( " $\"26%5E2+=+24%5E2+%2B+100\"$
\n" ); document.write( " $\"676+=+576+%2B+100\"$
\n" ); document.write( " $\"676+=+676\"$
\n" ); document.write( "OK \n" ); document.write( "

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