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

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

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9x^2-16y^2=144

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

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

2 x^{2} + 2 y^{2} - 12 x + 8 y - 24 = 0

\frac{( x - 5 ) ^{2}}{25} + \frac{( y + 3 ) ^{2}}{9} = 1

x^{2} + y^{2} = 7

\frac{x ^{2}}{a ^{2}} + \frac{y ^{2}}{a ^{2}} = 1

x^{2} = 12 y

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