document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=68069>Question 68069</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have asked this question within the past two days without a response. I am having a tough time figuring out how to set this problem up. Once I know how to set it up and why, I can probably solve the equation. I hope someone out there can help me with this one, please.\r<BR>\n" );
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document.write( "Find two consecutive positive integers such that the sum of their squares is 85. [You must use algebra to solve this, setting up an equation with a variable, and using algebra to solve for the variable.] </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #48370 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley71><B>checkley71(8403)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley71><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=48370\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x^2 be the first number & (x+1)^2 the next number<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+1-85<BR>\n" );
document.write( "2x^2+2x-84=0<BR>\n" );
document.write( "x^2+x^2-42=0<BR>\n" );
document.write( "(x+7)(x-6)=0<BR>\n" );
document.write( "x-6=0<BR>\n" );
document.write( "x=6 answer for the first number<BR>\n" );
document.write( "6+1=7 for the next number.<BR>\n" );
document.write( "proof<BR>\n" );
document.write( "6^2+7^2=84<BR>\n" );
document.write( "36+49=84<BR>\n" );
document.write( "84=84\r<BR>\n" );
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document.write( " </SPAN>\n" );
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