document.write( "Question 74285: Find two consecutive positive integers such that the sum of their squares is 85.\r
\n" ); document.write( "\n" ); document.write( "Please show work. \n" ); document.write( "
Algebra.Com's Answer #53277 by funmath(2933)\"\" \"About 
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Find two consecutive positive integers such that the sum of their squares is 85.
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\n" ); document.write( "Let the 1st number be: x
\n" ); document.write( "Then the next consecutive number is: x+1
\n" ); document.write( "sum means: +
\n" ); document.write( "Squares means: ^2
\n" ); document.write( "is means: =
\n" ); document.write( "\"x%5E2%2B%28x%2B1%29%5E2=85\"
\n" ); document.write( "\"x%5E2%2B%28x%2B1%29%28x%2B1%29=85\"
\n" ); document.write( "\"x%5E2%2Bx%28x%2B1%29%2B1%28x%2B1%29=85\"
\n" ); document.write( "\"x%5E2%2Bx%28x%29%2Bx%281%29%2B1%28x%29%2B1%281%29=85\"
\n" ); document.write( "\"x%5E2%2Bx%5E2%2Bx%2Bx%2B1=85\"
\n" ); document.write( "\"2x%5E2%2B2x%2B1=85\"
\n" ); document.write( "\"2x%5E2%2B2x%2B1-85=85-85\"
\n" ); document.write( "\"2x%5E2%2B2x-84=0\"
\n" ); document.write( "\"2%28x%5E2%2Bx-42%29=0\"
\n" ); document.write( "\"2%28x%5E2%2Bx-42%29%2F2=0%2F2\"
\n" ); document.write( "\"x%5E2%2Bx-42=0\"
\n" ); document.write( "\"%28x%2B7%29%28x-6%29=0\"
\n" ); document.write( "x+7=0 or x-6=0
\n" ); document.write( "x+7-7=0-7 or x-6+6=0+6
\n" ); document.write( "x=-7 or x=6
\n" ); document.write( "We are only interested in positive integers, so throw out the -7.
\n" ); document.write( "The first integer is: x=6
\n" ); document.write( "The second integer is: x+1=6+1=7
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\n" ); document.write( "Sanity Check:
\n" ); document.write( "If you added their squares would you get 85?
\n" ); document.write( "\"6%5E2%2B7%5E2=85\"
\n" ); document.write( "\"36%2B49=85\"
\n" ); document.write( "\"85=85\"
\n" ); document.write( "We seem to be on the right track.
\n" ); document.write( "Happy Calculating!!!! \n" ); document.write( "
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