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

The solution to 9x^2-y^2=144 is Hyperbola with (h,k)=(0,0),a=4,b=12

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9x^2-y^2=144

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

(h, k) = (0, 0), a = 4, b = 12

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 4, b = 12

\frac{( x + 4 ) ^{2}}{4} - \frac{( y - 5 ) ^{2}}{45} = 1

\frac{- x ^{2}}{36} + \frac{y ^{2}}{16} = 1

\frac{a ^{2} - 4 b ^{2} - 15}{π} = 0

x^{2} - 1 y^{2} = 13

- 9 x^{2} + 36 x + 4 y^{2} - 24 y = 63

What is 9x^2-y^2=144 ?
The solution to 9x^2-y^2=144 is Hyperbola with (h,k)=(0,0),a=4,b=12