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

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

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16x^2-9y^2=144

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

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

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

x^{2} + y^{2} - 2 x + 4 y - 31 = 0

(x + 4)^{2} = 12 y - 24

\frac{x ^{2}}{25} + \frac{y ^{2}}{9} = 1

y^{2} = 16 x

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