What is (y^2)/4-(x^2)/(25)=1 ?

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

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(y^2)/4-(x^2)/(25)=1

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

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

Solution steps

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

Rewrite

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

x^{2} - y^{2} = - \frac{3}{8}

9 x^{2} - 4 y^{2} - 36 x - 24 y = 36

8 x^{2} - 2 y^{2} = 16

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

x^{2} - 4 y^{2} + 2 x - 35 = 0

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