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

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

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9x^2-25y^2=225

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

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

\frac{( x + 3 ) ^{2}}{16} + \frac{( y - 5 ) ^{2}}{25} = 1

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

x^{2} = 12 y

4 x^{2} + y^{2} = 1

16 x^{2} + 9 y^{2} = 144

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