What is y^2-x^2= 1/25 ?

The solution to y^2-x^2= 1/25 is Hyperbola with (h,k)=(0,0),a= 1/5 ,b= 1/5

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y^2-x^2= 1/25

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

(h, k) = (0, 0), a = \frac{1}{5}, b = \frac{1}{5}

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = \frac{1}{5}, b = \frac{1}{5}

x^{2} - 2 y^{2} - 2 x + 8 y + 5 = 0

12 x^{2} - 4 y^{2} = 96

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

x^{2} - y^{2} + 6 x = 16

\frac{( y - 6 ) ^{2}}{36} - \frac{( x + 1 ) ^{2}}{16} = 1

What is y^2-x^2= 1/25 ?
The solution to y^2-x^2= 1/25 is Hyperbola with (h,k)=(0,0),a= 1/5 ,b= 1/5