document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=45380>Question 45380</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find two consecutive positive integers such that the sum of their square is 85.\r<BR>\n" );
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document.write( "I think I start with square root of  x    plus the square root of x + 1 = 85.\r<BR>\n" );
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document.write( "If so then I don't know where to go from here.\r<BR>\n" );
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document.write( "Thanks for help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #30118 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=30118\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Not quite...the setup is like this<BR>\n" );
document.write( "x^2 + (x + 1)^2 = 85<BR>\n" );
document.write( "(the sum of the squares)<BR>\n" );
document.write( "Now we get<BR>\n" );
document.write( "x^2 + x^2 + 2x + 1 = 85<BR>\n" );
document.write( "2x^2 + 2x - 84 = 0<BR>\n" );
document.write( "x^2 + x - 42 = 0<BR>\n" );
document.write( "(x + 7)(x - 6) = 0<BR>\n" );
document.write( "and<BR>\n" );
document.write( "x = -7 or x = 6<BR>\n" );
document.write( "but they must be positive, hence your numbers are<BR>\n" );
document.write( "6 and 7 </SPAN>\n" );
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