What is the foci x^2-36y^2=36 ?

The foci x^2-36y^2=36 is (sqrt(37),0),(-sqrt(37),0)

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foci x^2-36y^2=36

foci

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

(37, 0), (- 37, 0)

Solution steps

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

Calculate Hyperbola properties

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

Right-left Hyperbola with

(h, k) = (0, 0), a = 6, b = 1

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

Compute

c :

c = 6^{2} + 1^{2} : 37

(0 + 37, 0), (0 - 37, 0)

Refine

(37, 0), (- 37, 0)

9 x^{2} - 9 y^{2} + 18 x + 36 y = 63

\frac{( y - 1 ) ^{2}}{\frac{1}{4}} - \frac{( x + 1 ) ^{2}}{\frac{1}{16}} = 1

64 y^{2} - 4 x^{2} = 256

4 x^{2} - y^{2} - 24 x + 20 = 0

\frac{( x + 3 ) ^{2}}{9} - \frac{( y - 2 ) ^{2}}{16} = 1

What is the foci x^2-36y^2=36 ?
The foci x^2-36y^2=36 is (sqrt(37),0),(-sqrt(37),0)