document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=100452>Question 100452</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could someone please help me with this equation.<BR>\n" );
document.write( "Find two consecutive positive integers such that the sum of their squares is 85. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #73128 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=73128\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x, x+1, be the integers<BR>\n" );
document.write( "x^2+(x+1)^2=85<BR>\n" );
document.write( "x^2+x^2+2x+1=85<BR>\n" );
document.write( "2x^2+2x-84=0 subtract 85 from each side and combine terms.<BR>\n" );
document.write( "2(x^2+x-42)=0 factor<BR>\n" );
document.write( "2(x+7)(x-6)=0<BR>\n" );
document.write( "x=-7 and x=6<BR>\n" );
document.write( "so x=6 because the problem calls for positive integers.<BR>\n" );
document.write( "Check:<BR>\n" );
document.write( "6^2+7^2=36+49=85<BR>\n" );
document.write( "Ed<BR>\n" );
document.write( " </SPAN>\n" );
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