document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=43057>Question 43057</A>: <I><SPAN STYLE=\"word-break: break-all;\"> \"Graph the equation, then choose the correct coordinates of the foci. Keep the graphs as they may be asked for at a later time. y^2= 5x^2+25.\" I keep trying to graph equations like this and find the foci, but the answers I get are never one of the answer choices. For this one I did:<BR>\n" );
document.write( "y^2= 5x^2+25<BR>\n" );
document.write( "        <BR>\n" );
document.write( "y^2-5x^2= 25<BR>\n" );
document.write( "   <BR>\n" );
document.write( "(y^2-5x^2)/-5=25/-5\r<BR>\n" );
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document.write( "-1/5(y^2/-5-x^2)=-5/-5<BR>\n" );
document.write( "    <BR>\n" );
document.write( "y^2/25+x^2/5=1\r<BR>\n" );
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document.write( "y^2/(5)^2+x^2/(square root 5)^2=1\r<BR>\n" );
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document.write( "After that I had my x and y intercepts so I made my graph and tried to find the foci.\r<BR>\n" );
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document.write( "b^2=a^2-c^2\r<BR>\n" );
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document.write( "square root 5^2= 5^2-c^2\r<BR>\n" );
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document.write( "5= 25-c^2\r<BR>\n" );
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document.write( "5-25= -c^2\r<BR>\n" );
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document.write( "20= c^2\r<BR>\n" );
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document.write( "square root 20= c  <BR>\n" );
document.write( "I'd appreciate your help. These graphs have really been frustrating me. Please me know what I'm doing wrong. Thanx! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #28079 by </B><A HREF=/tutors/aboutme.mpl?userid=Nate><B>Nate(3500)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Nate><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=28079\">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=y%5E2+=+5x%5E2+%2B+25 ALIGN=MIDDLE  ALT=\"y%5E2+=+5x%5E2+%2B+25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2+-+5x%5E2+=+25 ALIGN=MIDDLE  ALT=\"y%5E2+-+5x%5E2+=+25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%5E2%2F25%29+-+%285x%5E2%2F25%29+=+25%2F25 ALIGN=MIDDLE  ALT=\"%28y%5E2%2F25%29+-+%285x%5E2%2F25%29+=+25%2F25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%5E2%2F25%29+-+%28x%5E2%2F5%29+=+1 ALIGN=MIDDLE  ALT=\"%28y%5E2%2F25%29+-+%28x%5E2%2F5%29+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is a hyperbola.<BR>\n" );
document.write( "Transverse axis: vertical<BR>\n" );
document.write( "Center: (0,0)<BR>\n" );
document.write( "a = 5<BR>\n" );
document.write( "b = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%285%29 ALIGN=MIDDLE  ALT=\"sqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Vertex:(0,5) and (0,-5)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2+%2B+b%5E2+=+c%5E2 ALIGN=MIDDLE  ALT=\"a%5E2+%2B+b%5E2+=+c%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%5E2+%2B+%28sqrt%285%29%29%5E2+=+c%5E2 ALIGN=MIDDLE  ALT=\"5%5E2+%2B+%28sqrt%285%29%29%5E2+=+c%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25+%2B+5+=+c%5E2 ALIGN=MIDDLE  ALT=\"25+%2B+5+=+c%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2830%29+=+c ALIGN=MIDDLE  ALT=\"sqrt%2830%29+=+c\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Foci: (0,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2830%29 ALIGN=MIDDLE  ALT=\"sqrt%2830%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >) and (0,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-sqrt%2830%29 ALIGN=MIDDLE  ALT=\"-sqrt%2830%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
document.write( "Asymptote:<BR>\n" );
document.write( "slope: (+-a/b) = +-<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2Fsqrt%285%29 ALIGN=MIDDLE  ALT=\"5%2Fsqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = +-<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2Asqrt%285%29%29%2F%28sqrt%285%29%2Asqrt%285%29%29 ALIGN=MIDDLE  ALT=\"%285%2Asqrt%285%29%29%2F%28sqrt%285%29%2Asqrt%285%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = +-<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%285%29 ALIGN=MIDDLE  ALT=\"sqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "center (again): (0,0)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+-+y1+=+m%28x+-+x1%29 ALIGN=MIDDLE  ALT=\"y+-+y1+=+m%28x+-+x1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+-+0+=+sqrt%285%29%28x+-+0%29 ALIGN=MIDDLE  ALT=\"y+-+0+=+sqrt%285%29%28x+-+0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+-+0+=+-sqrt%285%29%28x+-+0%29 ALIGN=MIDDLE  ALT=\"y+-+0+=+-sqrt%285%29%28x+-+0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+sqrt%285%29x ALIGN=MIDDLE  ALT=\"y+=+sqrt%285%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-sqrt%285%29x ALIGN=MIDDLE  ALT=\"y+=+-sqrt%285%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+sqrt%285x%5E2+%2B+25%29%2C+-sqrt%285x%5E2+%2B+25%29%2C+sqrt%285%29x%2C+-sqrt%285%29x+%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );