document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=752759>Question 752759</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Put this conic section into 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 #458420 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=458420\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Put this conic section into standard form. What is the a^2 value? <BR>\n" );
document.write( "25x^2 + 16y^2 + 150x = 160y - 225<BR>\n" );
document.write( "complete the square<BR>\n" );
document.write( "25x^2+150x+16y^2-160y = -225<BR>\n" );
document.write( "25(x^2+6x+9)+16(y^2-10y+25) = -225+225+400<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B3%29%5E2%2F16%2B%28y-5%29%5E2%2F25=1 ALIGN=MIDDLE  ALT=\"%28x%2B3%29%5E2%2F16%2B%28y-5%29%5E2%2F25=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is an equation of an ellipse with vertical transverse axis.<BR>\n" );
document.write( "Its standard form: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-h%29%5E2%2Fb%5E2%2B%28y-k%29%5E2%2Fa%5E2=1 ALIGN=MIDDLE  ALT=\"%28x-h%29%5E2%2Fb%5E2%2B%28y-k%29%5E2%2Fa%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > , (h,k)=(x,y) coordinates of center<BR>\n" );
document.write( "a^2=25 </SPAN>\n" );
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