document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=614894>Question 614894</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Which two endpoints define the major axis of this conic section?<BR>\n" );
document.write( "9x^2 + 25y^2 - 200y + 175=0 </SPAN>\n" );
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document.write( "9x^2 + 25y^2 - 200y + 175=0<BR>\n" );
document.write( "complete the square:<BR>\n" );
document.write( "25(y^2-8y+16)+9x^2=-175+400<BR>\n" );
document.write( "25(y-4)^2+9x^2=225<BR>\n" );
document.write( "x^2/25+(y-4)^2/9=1<BR>\n" );
document.write( "This is an equation of an ellipse with horizontal major axis.<BR>\n" );
document.write( "Its standard form: (x-h)^2/a^2+(y-k)^2/b^2=1, (a>b), (h,k)=(x,y) coordinates of center<BR>\n" );
document.write( "For given equation:x^2/25+(y-4)^2/9=1<BR>\n" );
document.write( "center:(0,4)<BR>\n" );
document.write( "a^2=25<BR>\n" );
document.write( "a=&#8730;25=5<BR>\n" );
document.write( "vertices (endpoints of horizontal major axis):<BR>\n" );
document.write( "(0±a,4)=(0±5,4)=(-5,4) and (5,4)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );