What is the foci x^2-y^2=49 ?

The foci x^2-y^2=49 is (7sqrt(2),0),(-7sqrt(2),0)

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foci x^2-y^2=49

foci

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

(72, 0), (- 72, 0)

Solution steps

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

Calculate Hyperbola properties

x^{2} - y^{2} = 49 :

Right-left Hyperbola with

(h, k) = (0, 0), a = 7, b = 7

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

Compute

c :

c = 7^{2} + 7^{2} : 72

(0 + 72, 0), (0 - 72, 0)

Refine

(72, 0), (- 72, 0)

\frac{x ^{2}}{9} - \frac{y ^{2}}{7} = 1

\frac{x ^{2}}{100} - \frac{y ^{2}}{64} = 1

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

- 9 x^{2} + 4 y^{2} - 36 x - 16 y - 164 = 0

\frac{( x + 5 ) ^{2}}{4} - \frac{y ^{2}}{4} = 1