document.write( "Question 884978: The sum of the squares of three consecutive odd integers is 331. Find the odd integers. \n" ); document.write( "

Algebra.Com's Answer #534849 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"N-2\"$ , $\"N\"$ , and $\"N%2B2\"$ be the three consecutive integers.
\n" ); document.write( " $\"%28N-2%29%5E2%2BN%5E2%2B%28N%2B2%29%5E2=331\"$
\n" ); document.write( " $\"N%5E2-4N%2B4%2BN%5E2%2BN%5E2%2B4N%2B4=331\"$
\n" ); document.write( " $\"3N%5E2%2B8=331\"$
\n" ); document.write( " $\"3N%5E2=333\"$
\n" ); document.write( " $\"N%5E2=111\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "Something is wrong with your problem setup because $\"111\"$ is not a perfect square so $\"N\"$ is not an integer.
\n" ); document.write( "The closest sum of squares of 3 consecutive odd integers is 371.
\n" ); document.write( "Please repost. \n" ); document.write( "

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