document.write( "Question 88630: This is from a worksheet: Find two consecutive integers such that the sum of their squares is 85.\r
\n" ); document.write( "\n" ); document.write( "I have getten this far:
\n" ); document.write( "n^2+(n+1)^2=85\r
\n" ); document.write( "\n" ); document.write( "At some point I will have to divide each side by half? \n" ); document.write( "
Algebra.Com's Answer #64436 by ankor@dixie-net.com(22740)\"\" \"About 
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Find two consecutive integers such that the sum of their squares is 85.
\n" ); document.write( "I have gotten this far:\r
\n" ); document.write( "\n" ); document.write( "n^2 + (n+1)^2 = 85
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\n" ); document.write( "to continue, FOIL (n+1)(n+1)
\n" ); document.write( "n^2 + (n^2 + 2n + 1) = 85
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\n" ); document.write( "n^2 + n^2 + 2n + 1 - 85 = 0: subtract 85 from both sides:
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\n" ); document.write( "2n^2 + 2n - 84 = 0; combine like terms, you have a quadratic equation
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\n" ); document.write( "n^2 + n - 42 = 0; simplify, divide equation (each term) by 2
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\n" ); document.write( "(n+7)(n-6) = 0; factors easily:
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\n" ); document.write( "n = -7
\n" ); document.write( "and
\n" ); document.write( "n = +6
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\n" ); document.write( "Both these solutions will work, here's x = -7
\n" ); document.write( "(-7^2) + (-6^2) =
\n" ); document.write( " +49 + 36 = 85
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