document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=867613>Question 867613</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is the answer of this hyperbole: x^2 -4x-2y+10=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #523118 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39625)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=523118\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-4x-2y%2B10=0 ALIGN=MIDDLE  ALT=\"x%5E2+-4x-2y%2B10=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "What is the question about the equation ?<BR>\n" );
document.write( "It is NOT a hyperbola.  If you want as  a hyperbola, maybe you forgot to include an exponent:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-4x-2y%5E2%2B10=0 ALIGN=MIDDLE  ALT=\"x%5E2-4x-2y%5E2%2B10=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >; but to be sure of which type of conic section, either do an appropriate check-test, or convert to standard form through completion of the square.  \r<BR>\n" );
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document.write( "You should find<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-4x%2B4-2y%5E2=-10%2B4 ALIGN=MIDDLE  ALT=\"x%5E2-4x%2B4-2y%5E2=-10%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%5E2-2y%5E2=-6 ALIGN=MIDDLE  ALT=\"%28x-2%29%5E2-2y%5E2=-6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%28y%5E2%29%2F3-%28%28x-2%29%5E2%29%2F6=1%29 ALIGN=MIDDLE  ALT=\"highlight%28%28y%5E2%29%2F3-%28%28x-2%29%5E2%29%2F6=1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "This would be a hyperbola with center (2,0), vertices (2, -sqrt(3)), and (2, sqrt(3)).\r<BR>\n" );
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document.write( "Actually the parabola as originally expressed in equation:<BR>\n" );
document.write( "Just as simple, maybe more simple.<BR>\n" );
document.write( "Same term for completing the square in x.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-4x-2y=-10 ALIGN=MIDDLE  ALT=\"x%5E2-4x-2y=-10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-4x%2B10=2y ALIGN=MIDDLE  ALT=\"x%5E2-4x%2B10=2y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-4x%2B4%2B10-4=2y ALIGN=MIDDLE  ALT=\"x%5E2-4x%2B4%2B10-4=2y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%5E2%2B6=2y ALIGN=MIDDLE  ALT=\"%28x-2%29%5E2%2B6=2y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Symmetric property and mult b.sds by (1/2),<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=%281%2F2%29%28x-2%29%5E2%2B6%29 ALIGN=MIDDLE  ALT=\"highlight%28y=%281%2F2%29%28x-2%29%5E2%2B6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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