document.write( "Question 176689: The sum of the squares of two consecutive integers is 265. Find the numbers. \n" ); document.write( "

Algebra.Com's Answer #131774 by Alan3354(69443) $\"\"$ $\"About$

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The sum of the squares of two consecutive integers is 265. Find the numbers.
\n" ); document.write( "----------------
\n" ); document.write( " $\"x%5E2+%2B+%28x%2B1%29%5E2+=+265\"$
\n" ); document.write( " $\"2x%5E2+%2B+2x+%2B+1+=+265\"$
\n" ); document.write( " $\"2x%5E2+%2B+2x+-+264+=+0\"$
\n" ); document.write( " $\"x%5E2+%2B+x+-+132+=+0\"$
\n" ); document.write( "(x-11)*(x+12) = 0
\n" ); document.write( "x = 11
\n" ); document.write( "x+1 = 12
\n" ); document.write( "--------------
\n" ); document.write( "x = -12
\n" ); document.write( "x+1 = -11
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