What is 9y^2-16x^2=1296 ?

The solution to 9y^2-16x^2=1296 is Hyperbola with (h,k)=(0,0),a=12,b=9

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9y^2-16x^2=1296

9 y^{2} - 16 x^{2} = 1296

(h, k) = (0, 0), a = 12, b = 9

Solution steps

9 y^{2} - 16 x^{2} = 1296

Rewrite

9 y^{2} - 16 x^{2} = 1296

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 12, b = 9

\frac{( x - 3 ) ^{2}}{100} - \frac{( y + 4 ) ^{2}}{169} = 1

- 3 x^{2} + y^{2} = 2

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

x^{2} - z^{2} + 24 = 0

9 x^{2} - 4 y^{2} - 18 x - 16 y - 43 = 0

What is 9y^2-16x^2=1296 ?
The solution to 9y^2-16x^2=1296 is Hyperbola with (h,k)=(0,0),a=12,b=9