document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=60835>Question 60835</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone please help me figure this out?\r<BR>\n" );
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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 #41817 by </B><A HREF=/tutors/aboutme.mpl?userid=jai_kos><B>jai_kos(139)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jai_kos><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=41817\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the two consecutive integer be x and x +1<BR>\n" );
document.write( "Sum of their squares is 85.<BR>\n" );
document.write( "That means <BR>\n" );
document.write( "x^2 +( x +1)^2 = 85<BR>\n" );
document.write( "x^2 +x^2 + 1 + 2x = 85<BR>\n" );
document.write( "2x^2 +2x  = 85 -1<BR>\n" );
document.write( "2x^2 + 2x  = 84<BR>\n" );
document.write( "2x^2 + 2x -84 =0<BR>\n" );
document.write( "Divide the above equation by 2, we get<BR>\n" );
document.write( "x^2 +x - 42 = 0<BR>\n" );
document.write( "x^2 + 7x -6x – 42 =0<BR>\n" );
document.write( "x(x +7) – 6 (x +7) = 0<BR>\n" );
document.write( "(x - 6) (x + 7) = 0<BR>\n" );
document.write( "x  - 6 = 0  or x +  7 = 0<BR>\n" );
document.write( "x = 6 or  -7\r<BR>\n" );
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document.write( "So when x = 6, we get (x+1) = 6 +1 = 7<BR>\n" );
document.write( "So when x =-7, (x +1) = - 7 + 1 = - 6\r<BR>\n" );
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document.write( "Therefore the consecutive numbers are 6,7 and -7 , 6<BR>\n" );
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