document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=135912>Question 135912</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The square of the sum of two consecutive integers is 529.  What are the integers?\r<BR>\n" );
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document.write( "x = 1st integer<BR>\n" );
document.write( "x + 1 = 2nd integer\r<BR>\n" );
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document.write( "(x + (x + 1))2 = 529<BR>\n" );
document.write( "2x2 = 528<BR>\n" );
document.write( "x2 = 264<BR>\n" );
document.write( "x = 16.24....\r<BR>\n" );
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document.write( "Answer should be 11 and 12.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #99665 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><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=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=99665\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (x+(x+1))^2 does NOT equal 2x^2+1\r<BR>\n" );
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document.write( "(2x+1)(2x+1) __ FOILing __ 4x^2+4x+1=529\r<BR>\n" );
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document.write( "subtracting 1 and dividing by 4 __ x^2+x=132\r<BR>\n" );
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document.write( "subtracting 132 __ x^2+x-132=0 __ factoring __ (x+12)(x-11)=0\r<BR>\n" );
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document.write( "so x=-12 and x=11 </SPAN>\n" );
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