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

The solution to x^2-16y^2=144 is Hyperbola with (h,k)=(0,0),a=12,b=3

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x^2-16y^2=144

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

(h, k) = (0, 0), a = 12, b = 3

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 12, b = 3

\frac{( x + 4 ) ^{2}}{4} - \frac{( y - 8 ) ^{2}}{16} = 1

25 x^{2} - 16 y^{2} - 400 = 0

x^{2} - \frac{y ^{2}}{10} = 5

5 x^{2} - 3 y^{2} - 20 x - 18 y - 22 = 0

\frac{x ^{2}}{8} - \frac{y ^{2}}{8} = 1

What is x^2-16y^2=144 ?
The solution to x^2-16y^2=144 is Hyperbola with (h,k)=(0,0),a=12,b=3