document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=214506>Question 214506</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9781567655957/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> The lengths of the sides of an isosceles triangle are represented by 2x + 5, 2x -  6, and 3x-3. What are the lengths of the sides of the triangle?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #162035 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=162035\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "If this is an isosceles triangle, then two of the sides must be equal to each other.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 2x + 5 = 2x - 6\ \Rightarrow\ 0 = -11\">\r<BR>\n" );
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document.write( "That is an absurdity, no value of x makes the statement true, so those are not the two equal sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 2x - 6 = 3x - 3\ \Rightarrow\ x = -3\  \Rightarrow\ 2x - 6 = -12\">\r<BR>\n" );
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document.write( "The side of a triangle cannot have a negative measure, so those are not the two equal sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 2x + 5 = 3x - 3\ \Rightarrow\ x = 8\ \Rightarrow 2x + 5 = 21\ \Rightarrow\ 3x - 3 = 21\">\r<BR>\n" );
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document.write( "So these are the equal sides and they measure 21.  The third side is\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 2(8) - 6 = 10\">\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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