find the encentricity,the foci and vertex and the equation of directrix and asymptote to the equation give the ellipse below

Question

25x^2+4y^2-50x-16y-59=0

Answer 1

25x^2+4y^2-50x-16y-59=0
25(x^2 - 50x + ...) + 4(y^2 - 4y + ..) = 59
25(x^2 - 2x + 1) + 4(y^2 - 4y + 4) = 59 + 25 + 16

25(x-1)^2 + 4(y-2)^2 = 100

(x-1)^2 /4 + (y-2)^2 /25 = 1

Now just use all the little formulas you must have to state the properties of this nice ellipse