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

Therefore Hyperbola properties are:

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

And the center is:

(0, 0)

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

4 x^{2} - y^{2} = 16

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

9 x^{2} - 4 y^{2} + 54 x + 8 y + 78 = 0

x^{2} - y^{2} - 4 x + 8 y - 21 = 0

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)