document.write( "Question 304253: the sum of the squares of two consecutive integers is 365. what are the integers.\r
\n" ); document.write( "\n" ); document.write( "thx \n" ); document.write( "

Algebra.Com's Answer #217916 by JBarnum(2146) $\"\"$ $\"About$

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$\"%28x%29%5E2%2B%28x%2B1%29%5E2=365\"$
\n" ); document.write( " $\"x%5E2%2Bx%5E2%2B2x%2B1=365\"$
\n" ); document.write( " $\"2x%5E2%2B2x-364=0\"$
\n" ); document.write( "2*2*2*7*13=728
\n" ); document.write( "7*4=28 13*2=26 so -13 and +28 are the factoring numbers
\n" ); document.write( " $\"%282x%2B28%29%28x-13%29=0\"$
\n" ); document.write( " $\"x=-14\"$ , $\"13\"$
\n" ); document.write( "(-14,-13)or(13,14)
\n" ); document.write( "checking
\n" ); document.write( " $\"%28-14%29%5E2%2B%28-14%2B1%29%5E2=365\"$
\n" ); document.write( " $\"196%2B169=365\"$
\n" ); document.write( " $\"365=365\"$ correct
\n" ); document.write( " $\"%2813%29%5E2%2B%2813%2B1%29%5E2=365\"$
\n" ); document.write( " $\"196%2B169=365\"$
\n" ); document.write( " $\"365=365\"$ correct \n" ); document.write( "

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