What is the center x^2-9y^2=144 ?

The center x^2-9y^2=144 is (0,0)

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center x^2-9y^2=144

center

x^{2} - 9 y^{2} = 144

(0, 0)

Solution steps

x^{2} - 9 y^{2} = 144

Rewrite

x^{2} - 9 y^{2} = 144

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{1 2 ^{2}} - \frac{( y - 0 ) ^{2}}{4 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 12, b = 4

And the center is:

(0, 0)

\frac{( x + 10 ) ^{2}}{36} - \frac{( y - 3 ) ^{2}}{100} = 1

\frac{( y + 5 ) ^{2}}{16} - \frac{( x + 3 ) ^{2}}{9} = 1

\frac{y ^{2}}{16} - \frac{x ^{2}}{25} = 1

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

- 9 x^{2} + 16 y^{2} - 90 x + 32 y - 353 = 0