What is the center 9y^2-49x^2=441 ?

The center 9y^2-49x^2=441 is (0,0)

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center 9y^2-49x^2=441

center

9 y^{2} - 49 x^{2} = 441

(0, 0)

Solution steps

9 y^{2} - 49 x^{2} = 441

Rewrite

9 y^{2} - 49 x^{2} = 441

in the form of a standard hyperbola equation

\frac{( y - 0 ) ^{2}}{7 ^{2}} - \frac{( x - 0 ) ^{2}}{3 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 7, b = 3

And the center is:

(0, 0)

4 x^{2} - 9 y^{2} + 32 x + 36 y + 64 = 0

4 x^{2} - 45 y^{2} = 180

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

\frac{x ^{2}}{36} - \frac{y ^{2}}{9} = 1

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