document.write( "Question 117290: Find two consecutive positive intergers such that the sum of their square is 85. \r
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Algebra.Com's Answer #85320 by checkley71(8403)\"\" \"About 
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X^2+(X+1)^2=85
\n" ); document.write( "X^2+X^2+2X+1=85
\n" ); document.write( "2X^2+2X+1-85=0
\n" ); document.write( "2X^2+2X-84=0
\n" ); document.write( "2(X^2+X-42)
\n" ); document.write( "2(X+7)(X-6)=0
\n" ); document.write( "X+7=0
\n" ); document.write( "X=-7 ANSWER.
\n" ); document.write( "X-6=0
\n" ); document.write( "X=6 ANSWER.
\n" ); document.write( "PROOF
\n" ); document.write( "6^2+7^2=85
\n" ); document.write( "36+49=85
\n" ); document.write( "85=85
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