document.write( "Question 828478: find three consecutive even integerss such that the square of the largest exceeds the sum of the squares of the other two by 12 \n" ); document.write( "

Algebra.Com's Answer #499362 by josgarithmetic(39618) $\"\"$ $\"About$

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n is an integer, greater than zero.
\n" ); document.write( "Three even integers may be 2n, 2n+2, 2n+4.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"%282n%2B4%29%5E2=%282n%29%5E2%2B%282n%2B2%29%5E2%2B12\"$
\n" ); document.write( " $\"4n%5E2%2B16n%2B16=4n%5E2%2B4n%5E2%2B8n%2B4%2B12\"$
\n" ); document.write( " $\"16n%2B16=4n%5E2%2B8n%2B16\"$
\n" ); document.write( " $\"16n=4n%5E2%2B8n\"$
\n" ); document.write( " $\"4n=n%5E2%2B2n\"$
\n" ); document.write( " $\"2n=n%5E2\"$
\n" ); document.write( " $\"n%5E2-2n=0\"$
\n" ); document.write( " $\"n%28n-2%29=0\"$
\n" ); document.write( "The meaningful solution for n is $\"highlight_green%28n=2%29\"$
\n" ); document.write( "The three even consecutive integers are 4, 6, and 8. \n" ); document.write( "

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