What is the foci x^2-y^2=100 ?

The foci x^2-y^2=100 is (10sqrt(2),0),(-10sqrt(2),0)

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foci x^2-y^2=100

foci

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

(102, 0), (- 102, 0)

Solution steps

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

Calculate Hyperbola properties

x^{2} - y^{2} = 100 :

Right-left Hyperbola with

(h, k) = (0, 0), a = 10, b = 10

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

Compute

c :

c = 1 0^{2} + 1 0^{2} : 102

(0 + 102, 0), (0 - 102, 0)

Refine

(102, 0), (- 102, 0)

\frac{( x + 2 ) ^{2}}{4} - \frac{( y - 1 ) ^{2}}{9} = 1

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

x^{2} - y^{2} - 10 x - 10 y - 1 = 0

\frac{( x - 3 ) ^{2}}{16} - \frac{( y + 8 ) ^{2}}{64} = 1

9 x^{2} - 4 y^{2} - 18 x - 16 y + 29 = 0

What is the foci x^2-y^2=100 ?
The foci x^2-y^2=100 is (10sqrt(2),0),(-10sqrt(2),0)