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

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

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16y^2-9x^2=144

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

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

4 y^{2} - 4 x^{2} - 24 x + 32 y = - 24

9 x^{2} - 16 y^{2} + 576 = 0

5 x^{2} - 5 y^{2} - 9 x - 14 y + 26 = 0

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

f (x) (f (x)) = x^{2} + x + 1

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