What is the foci 4x^2-3y^2-8x-8=0 ?

The foci 4x^2-3y^2-8x-8=0 is (1+sqrt(7),0),(1-sqrt(7),0)

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foci 4x^2-3y^2-8x-8=0

foci

4 x^{2} - 3 y^{2} - 8 x - 8 = 0

(1 + 7, 0), (1 - 7, 0)

Solution steps

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

Calculate Hyperbola properties

4 x^{2} - 3 y^{2} - 8 x - 8 = 0 :

Right-left Hyperbola with

(h, k) = (1, 0), a = 3, b = 2

(1 + c, 0), (1 - c, 0)

Compute

c :

c = 3^{2} + 2^{2} : 7

(1 + 7, 0), (1 - 7, 0)

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

\frac{x ^{2}}{5625} - \frac{y ^{2}}{1600} = 1

\frac{( y - 6 ) ^{2}}{36} - \frac{( x + 1 ) ^{2}}{16} = 1

9 x^{2} - 4 y^{2} + 54 x + 16 y + 29 = 0

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

What is the foci 4x^2-3y^2-8x-8=0 ?
The foci 4x^2-3y^2-8x-8=0 is (1+sqrt(7),0),(1-sqrt(7),0)