document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=792268>Question 792268</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The equation 3x^2+5x-6y^2-5y=x^2-10y^2+100 is a- circle, ellipse, hyperbola, parabola or line. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #480089 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=480089\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The equation 3x^2+5x-6y^2-5y=x^2-10y^2+100 is a- circle, ellipse, hyperbola, parabola or line.<BR>\n" );
document.write( "***<BR>\n" );
document.write( "3x^2+5x-6y^2-5y=x^2-10y^2+100<BR>\n" );
document.write( "4x^2+5x+4y^2-5y=100<BR>\n" );
document.write( "complete the square<BR>\n" );
document.write( "4(x^2+5x/4+25/4)+4(y^2-5y/4+25/4)=100+25+25<BR>\n" );
document.write( "4(x+5/2)^2+4(y-5/2)^2=150<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B5%2F2%29%5E2%2B%28y-5%2F2%29%5E2=37.5 ALIGN=MIDDLE  ALT=\"%28x%2B5%2F2%29%5E2%2B%28y-5%2F2%29%5E2=37.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is an equation of a circle<BR>\n" );
document.write( "Its standard form of equation: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-h%29%5E2%2B%28y-k%29%5E2=r%5E2 ALIGN=MIDDLE  ALT=\"%28x-h%29%5E2%2B%28y-k%29%5E2=r%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, (h,k)=(x,y) coordinates of center, r=radius<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );