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
find the encentricity,the foci and vertex and the equation of directrix and asymptote to the equation give the ellipse below
25x^2+4y^2-50x-16y-59=0
1 answer