What is (y^2)/5-(x^2)/(25)=1 ?

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

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(y^2)/5-(x^2)/(25)=1

\frac{y ^{2}}{5} - \frac{x ^{2}}{25} = 1

(h, k) = (0, 0), a = 5, b = 5

Solution steps

\frac{y ^{2}}{5} - \frac{x ^{2}}{25} = 1

Rewrite

\frac{y ^{2}}{5} - \frac{x ^{2}}{25} = 1

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 5, b = 5

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

36 x^{2} - 9 y^{2} + 216 x + 36 y = - 207

- 4 x^{2} + y^{2} + 8 x - 20 = 0

\frac{( y - 7 ) ^{2}}{32} - \frac{( x - 1 ) ^{2}}{64} = 1

36 x^{2} - 16 y^{2} - 144 x + 128 y - 265 = 0

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