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

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

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

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

(h, k) = (0, 0), a = 6, b = 2

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 6, b = 2

- 2 x^{2} + 5 y^{2} + 3 x + 8 y + 4 = 0

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

\frac{x ^{2}}{140} - \frac{( y - 6 ) ^{2}}{4} = 1

- 3 x^{2} + 2 y^{2} + 6 x + 8 y = - 15

x^{2} - 3 y^{2} + 8 x - 6 y + 4 = 0

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