document.write( "Question 324085: The sum of the squares of two consecutive integers is 613. What are the integers?
\n" ); document.write( "Let x be one integer. Therefore x +1 is the next integer.
\n" ); document.write( "x^2+(x+1)^2=613 \n" ); document.write( "

Algebra.Com's Answer #231973 by Fombitz(32388) $\"\"$ $\"About$

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$\"x%5E2%2B%28x%2B1%29%5E2=613\"$
\n" ); document.write( "Complete the square.
\n" ); document.write( " $\"x%5E2%2B%28x%5E2%2B2x%2B1%29=613\"$
\n" ); document.write( " $\"2x%5E2%2B2x%2B1=613\"$
\n" ); document.write( " $\"2%28x%5E2%2Bx%29=612\"$
\n" ); document.write( " $\"2%28x%5E2%2Bx%2B1%2F4%29=612%2B1%2F2\"$
\n" ); document.write( " $\"2%28x%2B1%2F2%29%5E2=1224%2F2%2B1%2F2\"$
\n" ); document.write( " $\"%28x%2B1%2F2%29%5E2=1225%2F4\"$
\n" ); document.write( " $\"x%2B1%2F2=0+%2B-+35%2F2\"$
\n" ); document.write( " $\"x=-1%2F2+%2B-+35%2F2\"$
\n" ); document.write( " $\"x=-36%2F2=-18\"$ and $\"x=34%2F2=17\"$
\n" ); document.write( ".
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\n" ); document.write( ".
\n" ); document.write( "The integers are either -18 and -17 or 17 and 18.
\n" ); document.write( " \n" ); document.write( "

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