What is 9y^2-16x^2=81 ?

The solution to 9y^2-16x^2=81 is Hyperbola with (h,k)=(0,0),a=3,b= 9/4

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9y^2-16x^2=81

9 y^{2} - 16 x^{2} = 81

(h, k) = (0, 0), a = 3, b = \frac{9}{4}

Solution steps

9 y^{2} - 16 x^{2} = 81

Rewrite

9 y^{2} - 16 x^{2} = 81

in the form of a standard hyperbola equation

\frac{( y - 0 ) ^{2}}{3 ^{2}} - \frac{( x - 0 ) ^{2}}{( \frac{9}{4} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 3, b = \frac{9}{4}

9 x^{2} - 4 y^{2} - 54 x - 8 y + 113 = 0

y^{2} + 2 y + x = 0

x^{2} + y^{2} + 8 x - 2 y - 19 = 0

\frac{x ^{2}}{36} + \frac{y ^{2}}{4} = 1

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

What is 9y^2-16x^2=81 ?
The solution to 9y^2-16x^2=81 is Hyperbola with (h,k)=(0,0),a=3,b= 9/4