What is (y^2}{25}-\frac{x^2)/4 =1 ?

The solution to (y^2}{25}-\frac{x^2)/4 =1 is Hyperbola with (h,k)=(0,0),a=5,b=2

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(y^2}{25}-\frac{x^2)/4 =1

\frac{y ^{2}}{25} - \frac{x ^{2}}{4} = 1

(h, k) = (0, 0), a = 5, b = 2

Solution steps

\frac{y ^{2}}{25} - \frac{x ^{2}}{4} = 1

Rewrite

\frac{y ^{2}}{25} - \frac{x ^{2}}{4} = 1

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 5, b = 2

\frac{x ^{2}}{144} - \frac{y ^{2}}{81} = 1

y^{2} = x^{2} + 1

4 y^{2} - 9 x^{2} = 36

49 x^{2} - 25 y^{2} - 686 x - 50 y + 2375 = 0

\frac{( x - 3 ) ^{2}}{25} - \frac{( y + 1 ) ^{2}}{25} = 1

What is (y^2}{25}-\frac{x^2)/4 =1 ?
The solution to (y^2}{25}-\frac{x^2)/4 =1 is Hyperbola with (h,k)=(0,0),a=5,b=2