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

The solution to y^2-x^2= 9/25 is Hyperbola with (h,k)=(0,0),a= 3/5 ,b= 3/5

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y^2-x^2= 9/25

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

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

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}

x^{2} = y^{2} + 16

- x^{2} + 4 x + 3 y^{2} - 12 y - 4 = 0

16 \cdot (x^{2} - 2 x) - 25 (y^{2} - 4 y) = 484

\frac{( x - 2 ) ^{2}}{12} - \frac{( 3 y ^{2} + y )}{12} = 1

2 x - 4 x^{2} = - 9 y^{2} - 21 y - 50

What is y^2-x^2= 9/25 ?
The solution to y^2-x^2= 9/25 is Hyperbola with (h,k)=(0,0),a= 3/5 ,b= 3/5