What is the foci 9x^2-16y^2-18x+64y-199=0 ?

The foci 9x^2-16y^2-18x+64y-199=0 is (6,2),(-4,2)

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foci 9x^2-16y^2-18x+64y-199=0

foci

9 x^{2} - 16 y^{2} - 18 x + 64 y - 199 = 0

(6, 2), (- 4, 2)

Solution steps

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

Calculate Hyperbola properties

9 x^{2} - 16 y^{2} - 18 x + 64 y - 199 = 0 :

Right-left Hyperbola with

(h, k) = (1, 2), a = 4, b = 3

(1 + c, 2), (1 - c, 2)

Compute

c :

c = 4^{2} + 3^{2} : 5

(1 + 5, 2), (1 - 5, 2)

Refine

(6, 2), (- 4, 2)

49 y^{2} - 100 x^{2} = 4900

\frac{x ^{2}}{64} - \frac{y ^{2}}{4} = 1

\frac{( x - 1 ) ^{2}}{25} - \frac{( y - 2 ) ^{2}}{16} = 1

9 x^{2} - 16 y^{2} - 108 x + 64 y + 116 = 0

y^{2} - x^{2} = \frac{9}{25}

What is the foci 9x^2-16y^2-18x+64y-199=0 ?
The foci 9x^2-16y^2-18x+64y-199=0 is (6,2),(-4,2)