What is 9y^2-25x^2=225 ?

The solution to 9y^2-25x^2=225 is Hyperbola with (h,k)=(0,0),a=5,b=3

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9y^2-25x^2=225

9 y^{2} - 25 x^{2} = 225

(h, k) = (0, 0), a = 5, b = 3

Solution steps

9 y^{2} - 25 x^{2} = 225

Rewrite

9 y^{2} - 25 x^{2} = 225

in the form of a standard hyperbola equation

\frac{( y - 0 ) ^{2}}{5 ^{2}} - \frac{( x - 0 ) ^{2}}{3 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 5, b = 3

\frac{( x - 5 ) ^{2}}{4} - \frac{( y + 1 ) ^{2}}{49} = 1

4 (y - 3)^{2} - 9 (x - 2)^{2} = 36

\frac{x ^{2}}{25} - \frac{y ^{2}}{144} = 1

36 x^{2} - y^{2} - 216 x + 10 y + 263 = 0

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

What is 9y^2-25x^2=225 ?
The solution to 9y^2-25x^2=225 is Hyperbola with (h,k)=(0,0),a=5,b=3