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

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

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

center

y^{2} - x^{2} = \frac{9}{25}

(0, 0)

Solution steps

y^{2} - x^{2} = \frac{9}{25}

Rewrite

y^{2} - x^{2} = \frac{9}{25}

in the form of a standard hyperbola equation

\frac{( y - 0 ) ^{2}}{( \frac{3}{5} ) ^{2}} - \frac{( x - 0 ) ^{2}}{( \frac{3}{5} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = \frac{3}{5}, b = \frac{3}{5}

And the center is:

(0, 0)

9 x^{2} - 16 y^{2} - 108 x + 128 y + 212 = 0

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

x^{2} - y^{2} - 4 x - 2 y - 1 = 0

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

9 x^{2} - 16 y^{2} + 36 x + 32 y - 124 = 0