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

The solution to y^2-x^2= 4/25 is Hyperbola with (h,k)=(0,0),a= 2/5 ,b= 2/5

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y^2-x^2= 4/25

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

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

\frac{( y - 0 ) ^{2}}{( \frac{2}{5} ) ^{2}} - \frac{( x - 0 ) ^{2}}{( \frac{2}{5} ) ^{2}} = 1

Therefore Hyperbola properties are:

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

\frac{x ^{2}}{58} - \frac{y ^{2}}{120} = 1

\frac{( x - 5 ) ^{2}}{36} - \frac{( y - 2 ) ^{2}}{16} = 1

y^{2} - 9 x^{2} - 4 y + 18 x = 86

y^{2} - 4 x^{2} + 8 x = 20 y + 4

\frac{x ^{2}}{4} - \frac{y ^{2}}{32} = 1

What is y^2-x^2= 4/25 ?
The solution to y^2-x^2= 4/25 is Hyperbola with (h,k)=(0,0),a= 2/5 ,b= 2/5