What is 36x^2-9y^2-324=0 ?

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

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36x^2-9y^2-324=0

36 x^{2} - 9 y^{2} - 324 = 0

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

Solution steps

36 x^{2} - 9 y^{2} - 324 = 0

Rewrite

36 x^{2} - 9 y^{2} - 324 = 0

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

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

x^{2} + 42 x + 441 = 72 y + y^{2}

\frac{( x - 5 ) ^{2}}{9} - \frac{( y - 4 ) ^{2}}{25} = 1

x, h (x)^{2} = (5)^{2} + (12)^{2} + (x)^{2}

4 x^{2} - y^{2} - 20 x - 10 y - 25 = 0

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