What is the center (x^2)/(a^2)-(y^2)/(b^2)=1 ?

The center (x^2)/(a^2)-(y^2)/(b^2)=1 is (0,0)

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center (x^2)/(a^2)-(y^2)/(b^2)=1

center

\frac{x ^{2}}{a ^{2}} - \frac{y ^{2}}{b ^{2}} = 1

(0, 0)

Solution steps

\frac{x ^{2}}{a ^{2}} - \frac{y ^{2}}{b ^{2}} = 1

Rewrite

\frac{x ^{2}}{a ^{2}} - \frac{y ^{2}}{b ^{2}} = 1

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

And the center is:

(0, 0)

2 x^{2} - 2 y^{2} - 20 x + 16 y + 16 = 0

- \frac{( x - 3 ) ^{2}}{25} + \frac{( y + 2 ) ^{2}}{9} = 1

9 y^{2} - x^{2} + 2 x + 54 y + 62 = 0

x^{2} - 4 y^{2} + 8 x + 16 y - 4 = 0

\frac{x ^{2}}{9} - \frac{y ^{2}}{4} = 1

What is the center (x^2)/(a^2)-(y^2)/(b^2)=1 ?
The center (x^2)/(a^2)-(y^2)/(b^2)=1 is (0,0)