Question 89696
this ellipse is centered at the origin with the foci on the y-axis so the equation will be of the form {{{(x^2/b^2)+(y^2/a^2)=1}}}


a is the semi-major axis, in this case a=7 ... c is the distance from center to focus, c=5


b^2=a^2-c^2 ... b^2=49-25 ... b^2=24


so the equation is {{{(x^2/24)+(y^2/49)=1}}}