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

The center 9x^2-25y^2=225 is (0,0)

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center 9x^2-25y^2=225

center

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

(0, 0)

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

And the center is:

(0, 0)

- 4 x^{2} + y^{2} + 16 x + 12 y + 16 = 0

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

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

x^{2} - y^{2} = 6

x^{2} - 25 y^{2} - 14 x + 100 y - 76 = 0