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

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

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

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

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

6.25 x^{2} + 16 y^{2} - 12.5 x + 64 y - 29.75 = 0

4 y^{2} - 25 x^{2} = 100

- \frac{x ^{2}}{10} + \frac{9 x}{10} + \frac{11}{5}

x^{2} + y^{2} = 17

y^{2} = x + 1

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