What is the foci 1=x^2-y^2 ?

The foci 1=x^2-y^2 is (sqrt(2),0),(-sqrt(2),0)

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foci 1=x^2-y^2

foci

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

(2, 0), (- 2, 0)

Solution steps

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

Calculate Hyperbola properties

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

Right-left Hyperbola with

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

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

Compute

c :

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

(0 + 2, 0), (0 - 2, 0)

Refine

(2, 0), (- 2, 0)

\frac{x ^{2}}{900} - \frac{y ^{2}}{1600} = 1

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

10 y^{2} - 5 x^{2} = 50

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

2 x^{2} - 7 y^{2} - 16 x + 14 y = - 11