document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=537430>Question 537430</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how do i solve and graph this parabola x2+y2+6x-8y=11?<BR>\n" );
document.write( "how do i solve this y2/4-x2/25=1<BR>\n" );
document.write( "how do i solve this equation 4x2+y2=16<BR>\n" );
document.write( "how do i solve this (x-1,782,000,000)2/3.42(10)23 + (y-356,400,000)2/1.368(10)22 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #352867 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=352867\">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=x2%2By2%2B6x-8y=11 ALIGN=MIDDLE  ALT=\"x2%2By2%2B6x-8y=11\"   DISABLED_style= \"max-width:90%; height:auto;\" > looks like a circle to me because it has a term in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and a term in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2 ALIGN=MIDDLE  ALT=\"y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and both have the same coefficient<BR>\n" );
document.write( "Adding <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2B16=25 ALIGN=MIDDLE  ALT=\"9%2B16=25\"   DISABLED_style= \"max-width:90%; height:auto;\" >to both sides you get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x2%2B6x%2B9%29%2B%28y2-8y%2B16%29=11%2B25 ALIGN=MIDDLE  ALT=\"%28x2%2B6x%2B9%29%2B%28y2-8y%2B16%29=11%2B25\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B3%29%5E2%2B%28y-4%29%5E2=6%5E2 ALIGN=MIDDLE  ALT=\"%28x%2B3%29%5E2%2B%28y-4%29%5E2=6%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "That is the equation of a circle centered at (-3, 4), with radius 6.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2%2F4-x%5E2%2F25=1 ALIGN=MIDDLE  ALT=\"y%5E2%2F4-x%5E2%2F25=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > looks like a hyperbola.<BR>\n" );
document.write( "It is centered on the origin and symmetrical with respect to both axes, but you can see that no point with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=0 ALIGN=MIDDLE  ALT=\"y=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > could be on the graph. This curve hates the x-axis; it won't touch it.<BR>\n" );
document.write( "The closer it will get to the x-axis is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2%2F4=1 ALIGN=MIDDLE  ALT=\"y%5E2%2F4=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > <--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2=4 ALIGN=MIDDLE  ALT=\"y%5E2=4\"   DISABLED_style= \"max-width:90%; height:auto;\" > when <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=0 ALIGN=MIDDLE  ALT=\"x=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so vertices are (0,2) and (0,-2).<BR>\n" );
document.write( "The lines <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%285%2F2%29x ALIGN=MIDDLE  ALT=\"y=%285%2F2%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%285%2F2%29x ALIGN=MIDDLE  ALT=\"y=-%285%2F2%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" > are asymptotes.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x2%2By2=16 ALIGN=MIDDLE  ALT=\"4x2%2By2=16\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the equation of an ellipse centered at the origin. The ends of its axes are easy to find, by making <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=0 ALIGN=MIDDLE  ALT=\"x=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=0 ALIGN=MIDDLE  ALT=\"y=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I do not know what you meant by<BR>\n" );
document.write( "(x-1,782,000,000)2/3.42(10)23 + (y-356,400,000)2/1.368(10)22<BR>\n" );
document.write( "Perhaps it was<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-1782000000%29%5E2%2F%283.42%2A10%5E23%29+%2B+%28y-356400000%29%5E2%2F%281.368%2A10%5E22%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "but I would expect that to be equal to 1 and be followed by a question about the eccentricity of the orbit of some object that travels along an elliptical path described by that equation.<BR>\n" );
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