What is 9x^2-16y^2+144=0 ?

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

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9x^2-16y^2+144=0

9 x^{2} - 16 y^{2} + 144 = 0

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

Solution steps

9 x^{2} - 16 y^{2} + 144 = 0

Rewrite

9 x^{2} - 16 y^{2} + 144 = 0

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

36 (y + 4)^{2} - 16 (x - 3)^{2} = 576

(x - 2)^{2} - (y + 3)^{2} = 12

4 x^{2} - y^{2} + 12 x + 5 = 0

y^{2} - x^{2} = \frac{1}{25}

x^{2} - 2 y^{2} - 2 x + 8 y + 5 = 0

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