document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1209660>Question 1209660</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the conic section represented by the equation\r<BR>\n" );
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document.write( "x^2 - 4x + y^2 = y^2 + 8x + 20 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #849778 by </B><A HREF=/tutors/aboutme.mpl?userid=CPhill><B>CPhill(1959)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CPhill><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=CPhill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=849778\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. **Simplify the equation:**<BR>\n" );
document.write( "   Subtract y² from both sides:<BR>\n" );
document.write( "   x² - 4x = 8x + 20\r<BR>\n" );
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document.write( "2. **Rearrange the terms:**<BR>\n" );
document.write( "   x² - 12x - 20 = 0\r<BR>\n" );
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document.write( "3. **Analyze the equation:**<BR>\n" );
document.write( "   The equation is in the form of a quadratic equation in x, and there is no y term. This indicates that the equation represents a parabola.\r<BR>\n" );
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document.write( "Therefore, the conic section represented by the given equation is a **parabola**.<BR>\n" );
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