Question 868769
The major axis information means, a=5, and center of the ellipse is the origin.  the way that a, b, and c are related is {{{a^2+b^2=c^2}}}.  This means that {{{b^2=a^2-c^2}}}.  The distance 6 between foci here means since the center is midpoint of this segment focus to focus, c=3.  Find the value of {{{b^2}}}:
{{{b^2=5^2-3^2=25-9=16}}}.


Equation of ellipse:  {{{highlight(x^2/25+y^2/16=1)}}}