What is the asymptotes of+x^2-y^2=4 ?

The asymptotes of+x^2-y^2=4 is y=x,\quad y=-x

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asymptotes of+x^2-y^2=4

asymptotes

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

y = x, y = - x

Solution steps

y = \pm \frac{b}{a} (x - h) + k

Calculate Hyperbola properties

+ x^{2} - y^{2} = 4 :

Right-left Hyperbola with

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

y = \frac{2}{2} (x - 0) + 0, y = - \frac{2}{2} (x - 0) + 0

Refine

y = x, y = - x

9 x^{2} - 16 y^{2} - 18 x + 64 y - 199 = 0

16 y^{2} - 25 x^{2} = 400

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

5 y^{2} - 16 x^{2} + 400 = 0

- 25 x^{2} + y^{2} = 25

What is the asymptotes of+x^2-y^2=4 ?
The asymptotes of+x^2-y^2=4 is y=x,\quad y=-x