document.write( "Question 121355: Solve.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Find 2 consecutive positive integers such that the sum of their squares is 85.
\n" ); document.write( "

Algebra.Com's Answer #89101 by checkley71(8403)\"\" \"About 
You can put this solution on YOUR website!
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)=0
\n" ); document.write( "2(X+7)(X-6)=0
\n" ); document.write( "X-6=0
\n" ); document.write( "X=6 ANSWER
\n" ); document.write( "6+1=7 ANSWER.
\n" ); document.write( "PROOF
\n" ); document.write( "6^2+7^2=85
\n" ); document.write( "36+49=85
\n" ); document.write( "85=85\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );