What is the vertices 4x^2+9y^2-24x+72y+144=0 ?

The vertices 4x^2+9y^2-24x+72y+144=0 is (6,-4),(0,-4)

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vertices 4x^2+9y^2-24x+72y+144=0

vertices

4 x^{2} + 9 y^{2} - 24 x + 72 y + 144 = 0

(6, - 4), (0, - 4)

Solution steps

(h + a, k), (h - a, k)

Calculate ellipse properties

4 x^{2} + 9 y^{2} - 24 x + 72 y + 144 = 0 :

Ellipse with center

(h, k) = (3, - 4), a = 3, b = 2

(3 + 3, - 4), (3 - 3, - 4)

Refine

(6, - 4), (0, - 4)

16 x^{2} + 25 y^{2} = 400

\frac{x ^{2}}{4} + y^{2} = 1

9 x^{2} + 4 y^{2} + 18 x - 8 y - 131 = 0

25 x^{2} - 200 x + y^{2} + 4 y + 379 = 0

4 x^{2} + 9 y^{2} + 32 x - 18 y + 37 = 0

What is the vertices 4x^2+9y^2-24x+72y+144=0 ?
The vertices 4x^2+9y^2-24x+72y+144=0 is (6,-4),(0,-4)