document.write( "Question 992383: Find three consecutive even integers such that the sum of the squares of the first and second integers is equal to twice the third integers. Find the integers. \n" ); document.write( "

Algebra.Com's Answer #612030 by josmiceli(19441) $\"\"$ $\"About$

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Let the consecutive even integers =
\n" ); document.write( " $\"+n+\"$ , $\"+n%2B2+\"$ , and $\"+n+%2B+4+\"$
\n" ); document.write( "given:
\n" ); document.write( " $\"+n%5E2+%2B+%28+n%2B2+%29%5E2+=+2%2A%28+n%2B4+%29+\"$
\n" ); document.write( " $\"+n%5E2+%2B+n%5E2+%2B+4n+%2B+4+=+2n+%2B+8+\"$
\n" ); document.write( " $\"+2n%5E2+%2B+2n-+4+=+0+\"$
\n" ); document.write( " $\"+n%5E2+%2B+n+-+2+=+0+\"$
\n" ); document.write( " $\"+%28+n+%2B+2+%29%2A%28+n+-+1+%29+=+0+\"$
\n" ); document.write( " $\"+n+=+-2+\"$ ( ignore the positive root )
\n" ); document.write( " $\"+n+%2B+2+=+0+\"$
\n" ); document.write( " $\"+n+%2B+4+=+2+\"$
\n" ); document.write( "--------------
\n" ); document.write( "The consecutive even integers are:
\n" ); document.write( "-2, 0, and 2
\n" ); document.write( "------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+n%5E2+%2B+%28+n%2B2+%29%5E2+=+2%2A%28+n%2B4+%29+\"$
\n" ); document.write( " $\"+%28-2%29%5E2+%2B+%28+-2%2B2+%29%5E2+=+2%2A%28+-2%2B4+%29+\"$
\n" ); document.write( " $\"+4+%2B+0+=+2%2A2+\"$
\n" ); document.write( " $\"+4+=+4+\"$
\n" ); document.write( "OK \n" ); document.write( "

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