What is the vertices x^2-9y^2=144 ?

The vertices x^2-9y^2=144 is (12,0),(-12,0)

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vertices x^2-9y^2=144

vertices

x^{2} - 9 y^{2} = 144

(12, 0), (- 12, 0)

Solution steps

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

Calculate Hyperbola properties

x^{2} - 9 y^{2} = 144 :

Right-left Hyperbola with

(h, k) = (0, 0), a = 12, b = 4

(0 + 12, 0), (0 - 12, 0)

Refine

(12, 0), (- 12, 0)

4 y^{2} - x^{2} + 2 x + 16 y + 7 = 0

4 x^{2} - 9 y^{2} + 32 x + 36 y + 64 = 0

- 16 x^{2} + 9 y^{2} = 144

x^{2} - y^{2} + 4 x - 6 y = 6

\frac{x ^{2}}{25} - \frac{y ^{2}}{4} = 1