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

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

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25y^2-9x^2=225

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

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

2 x^{2} - 4 y^{2} + 8 x - 12 y + 64 = 0

4 x^{2} - y^{2} - 2 y - 5 = 0

4 x^{2} - 9 y^{2} - 24 x - 36 y - 36 = 0

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

x^{2} - (y - 1)^{2} = 4

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