document.write( "Question 53317: two consecutive postive integers sum of squares is 85 \n" ); document.write( "

Algebra.Com's Answer #35578 by stanbon(75887) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let the consecutive numbers be \"x\" and \"x+1\".
\n" ); document.write( "EQUATION:
\n" ); document.write( "x^2 + (x+1)^2= 85
\n" ); document.write( "x^2+ x^2+2x+1 = 85
\n" ); document.write( "2x^2+2x-84=0
\n" ); document.write( "x^2+x-42=0
\n" ); document.write( "(x+7)(x-6)=0
\n" ); document.write( "x=6 or x=-7
\n" ); document.write( "The consecutive numbers are -7, -6
\n" ); document.write( "or 6,7
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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