What is 9y^2-16x^2=144 ?

The solution to 9y^2-16x^2=144 is Hyperbola with (h,k)=(0,0),a=4,b=3

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9y^2-16x^2=144

9 y^{2} - 16 x^{2} = 144

(h, k) = (0, 0), a = 4, b = 3

Solution steps

9 y^{2} - 16 x^{2} = 144

Rewrite

9 y^{2} - 16 x^{2} = 144

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 4, b = 3

(x - 1)^{2} + y^{2} = 1

16 x^{2} + 25 y^{2} = 400

\frac{x ^{2}}{25} + \frac{y ^{2}}{16} = 1

4 \leq - x^{2} - y

18 x^{2} - 64 x - 14 y + 150 = 0

What is 9y^2-16x^2=144 ?
The solution to 9y^2-16x^2=144 is Hyperbola with (h,k)=(0,0),a=4,b=3