What is 24x^2-9y^2=216 ?

The solution to 24x^2-9y^2=216 is Hyperbola with (h,k)=(0,0),a=3,b=2sqrt(6)

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24x^2-9y^2=216

24 x^{2} - 9 y^{2} = 216

(h, k) = (0, 0), a = 3, b = 26

Solution steps

24 x^{2} - 9 y^{2} = 216

Rewrite

24 x^{2} - 9 y^{2} = 216

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{3 ^{2}} - \frac{( y - 0 ) ^{2}}{( 2 6 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 3, b = 26

4 x^{2} - 6 y^{2} = 9

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

3 x^{2} - y^{2} = 3

y^{2} - 16 x^{2} + 64 x - 208 = 0

9 x^{2} - 9 y^{2} - 18 x + 54 = 0

What is 24x^2-9y^2=216 ?
The solution to 24x^2-9y^2=216 is Hyperbola with (h,k)=(0,0),a=3,b=2sqrt(6)