document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=550304>Question 550304</A>: <I><SPAN STYLE=\"word-break: break-all;\"> put this conic section in standard form. What is the a^2 value? 25x^2+16y^2+150x=160y-225 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #358596 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=358596\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> put this conic section in standard form. What is the a^2 value? 25x^2+16y^2+150x=160y-225<BR>\n" );
document.write( "**<BR>\n" );
document.write( "25x^2+16y^2+150x=160y-225<BR>\n" );
document.write( "25x^2+150x+16y^2-160y=225<BR>\n" );
document.write( "complete the squares<BR>\n" );
document.write( "25(x^2+6x+9)+16(y^2-10+25)=-225+225+400<BR>\n" );
document.write( "(x+3)^2/16+(y-5)^2/25=1<BR>\n" );
document.write( "This is an equation for an ellipse with vertical major axis of the standard form: <BR>\n" );
document.write( "(x-h)^2/b^2+(y-k)^2/a^2=1, a>b, (h,k) being the (x,y) coordinates of the center.<BR>\n" );
document.write( "For given equation:<BR>\n" );
document.write( "a^2=25<BR>\n" );
document.write( "a=5 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );