What is 4x^2-9y^2-144=0 ?

The solution to 4x^2-9y^2-144=0 is Hyperbola with (h,k)=(0,0),a=6,b=4

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4x^2-9y^2-144=0

4 x^{2} - 9 y^{2} - 144 = 0

(h, k) = (0, 0), a = 6, b = 4

Solution steps

4 x^{2} - 9 y^{2} - 144 = 0

Rewrite

4 x^{2} - 9 y^{2} - 144 = 0

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{6 ^{2}} - \frac{( y - 0 ) ^{2}}{4 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 6, b = 4

16 y^{2} - 9 x^{2} + 54 + 64 y - 161 = 0

9 x^{2} - 4 y^{2} - 36 x + 16 y = 0

y^{2} - 36 x^{2} = 36

12 x^{2} + 6 y^{2} + 3 = 10 x^{2} + 10 y^{2} + 4

4 (- y)^{2} - (- x)^{2} = 36

What is 4x^2-9y^2-144=0 ?
The solution to 4x^2-9y^2-144=0 is Hyperbola with (h,k)=(0,0),a=6,b=4