What is 36x^2-9y^2=324 ?

The solution to 36x^2-9y^2=324 is Hyperbola with (h,k)=(0,0),a=3,b=6

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36x^2-9y^2=324

36 x^{2} - 9 y^{2} = 324

(h, k) = (0, 0), a = 3, b = 6

Solution steps

36 x^{2} - 9 y^{2} = 324

Rewrite

36 x^{2} - 9 y^{2} = 324

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 3, b = 6

\frac{1}{4} (x - 2)^{2} - \frac{1}{16} (y + 7)^{2} = 1

10 x^{(2)} - 25 y^{(2)} = 100

5 x^{2} - 4 y^{2} + 40 x + 24 y + 24 = 0

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

x^{2} - 81 y^{2} = 81

What is 36x^2-9y^2=324 ?
The solution to 36x^2-9y^2=324 is Hyperbola with (h,k)=(0,0),a=3,b=6