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

The foci x^2-9y^2=144 is (4sqrt(10),0),(-4sqrt(10),0)

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foci x^2-9y^2=144

foci

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

(410, 0), (- 410, 0)

Solution steps

(h + c, k), (h - c, k)

Calculate Hyperbola properties

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

Right-left Hyperbola with

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

(0 + c, 0), (0 - c, 0)

Compute

c :

c = 1 2^{2} + 4^{2} : 410

(0 + 410, 0), (0 - 410, 0)

Refine

(410, 0), (- 410, 0)

\frac{( x - 1 ) ^{2}}{25} - \frac{( y + 3 ) ^{2}}{9} = 1

\frac{( x - 3 ) ^{2}}{3} - \frac{( y - 2 ) ^{2}}{22} = 1

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

9 y^{2} - 4 x^{2} - 36 y - 8 x = 4

x^{2} - 4 y^{2} = 36

What is the foci x^2-9y^2=144 ?
The foci x^2-9y^2=144 is (4sqrt(10),0),(-4sqrt(10),0)