document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=89166>Question 89166</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0072549017/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Find two consecutive positive integers such that the sum of their squares is 85.\r<BR>\n" );
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document.write( "Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #64836 by </B><A HREF=/tutors/aboutme.mpl?userid=Nate><B>Nate(3500)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Nate><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=64836\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First Integer = i<BR>\n" );
document.write( "Second Integer = i + 1<BR>\n" );
document.write( "(i)^2 + (i + 1)^2 = 85<BR>\n" );
document.write( "i^2 + i^2 + 2i + 1 = 85<BR>\n" );
document.write( "2i^2 + 2i - 84 = 0<BR>\n" );
document.write( "i^2 + i - 42 = 0<BR>\n" );
document.write( "(i - 6)(i + 7) = 0<BR>\n" );
document.write( "i = 6 and i = -7<BR>\n" );
document.write( "Positive: 6 and 7 </SPAN>\n" );
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