What is the foci ((x^2))/(73)-((y^2))/(19)=1 ?

The foci ((x^2))/(73)-((y^2))/(19)=1 is (2sqrt(23),0),(-2sqrt(23),0)

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Find the Foci (x^2)/73-(y^2)/19=1

foci

\frac{( x ^{2} )}{73} - \frac{( y ^{2} )}{19} = 1

(223, 0), (- 223, 0)

Solution steps

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

Calculate Hyperbola properties

\frac{x ^{2}}{73} - \frac{y ^{2}}{19} = 1 :

Right-left Hyperbola with

(h, k) = (0, 0), a = 73, b = 19

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

Compute

c :

c = 73^{2} + 19^{2} : 223

(0 + 223, 0), (0 - 223, 0)

Refine

(223, 0), (- 223, 0)

p (x) = 21 + 24 x + 6 x^{2}

y = - 6 x^{2} + 3 x + 2

h (x) = x^{2} - 14 x + 6

8 x^{2} - 48 x + 65

x^{2} + y^{2} - 8 x - 6 y + 21 = 0

What is the foci ((x^2))/(73)-((y^2))/(19)=1 ?
The foci ((x^2))/(73)-((y^2))/(19)=1 is (2sqrt(23),0),(-2sqrt(23),0)