What is the asymptotes of y^2-x^2= 4/25 ?

The asymptotes of y^2-x^2= 4/25 is y=x,\quad y=-x

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asymptotes of y^2-x^2= 4/25

asymptotes

y^{2} - x^{2} = \frac{4}{25}

y = x, y = - x

Solution steps

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

Calculate Hyperbola properties

y^{2} - x^{2} = \frac{4}{25} :

Up-down Hyperbola with

(h, k) = (0, 0), a = \frac{2}{5}, b = \frac{2}{5}

y = \frac{\frac{2}{5}}{\frac{2}{5}} (x - 0) + 0, y = - \frac{\frac{2}{5}}{\frac{2}{5}} (x - 0) + 0

Refine

y = x, y = - x

3 x^{2} - y^{2} + 6 x - 2 y = 10

\frac{( x - 1 ) ^{2}}{9} - \frac{( y + 6 ) ^{2}}{4} = 1

\frac{x ^{2}}{16} - \frac{y ^{2}}{20} = 1

y^{2} - 4 x^{2} = 16

\frac{x ^{2}}{36} - \frac{y ^{2}}{25} = 1

What is the asymptotes of y^2-x^2= 4/25 ?
The asymptotes of y^2-x^2= 4/25 is y=x,\quad y=-x