What is (y^2)/5-(x^2)/4 =1 ?

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

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(y^2)/5-(x^2)/4 =1

\frac{y ^{2}}{5} - \frac{x ^{2}}{4} = 1

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

Solution steps

\frac{y ^{2}}{5} - \frac{x ^{2}}{4} = 1

Rewrite

\frac{y ^{2}}{5} - \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{y ^{2}}{4} - \frac{x ^{2}}{32} = 1

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

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

x^{2} - 10 x - 4 y^{2} - 8 y + 17 = 0

y^{2} - x^{2} - 9 = 0

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