document.write( "Question 946223: find 3 consecutive positive even integers such that the sum of the squares of the first and second integers is equal to the square of the third integer plus 48 \n" ); document.write( "

Algebra.Com's Answer #577888 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"%28N-2%29%5E2%2BN%5E2=%28N%2B2%29%5E2%2B48\"$
\n" ); document.write( " $\"N%5E2-4N%2B4%2BN%5E2=N%5E2%2B4N%2B4%2B48\"$
\n" ); document.write( " $\"N%5E2-8N-48=0\"$
\n" ); document.write( " $\"%28N-12%29%28N%2B4%29=0\"$
\n" ); document.write( "Only the positive solution is needed.
\n" ); document.write( " $\"N-12=0\"$
\n" ); document.write( " $\"N=12\"$
\n" ); document.write( "So the integers are 10,12, and 14. \n" ); document.write( "

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