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

The solution to -36x^2+y^2=36 is Hyperbola with (h,k)=(0,0),a=6,b=1

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-36x^2+y^2=36

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

(h, k) = (0, 0), a = 6, b = 1

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 6, b = 1

16 x^{2} - 9 y^{2} + 96 x + 36 y + 252 = 0

4 y^{2} - x^{2} = 36

4 x^{2} - 9 y^{2} - 16 x + 18 y - 11 = 0

4 x^{2} - 5 y^{2} + 30 y = 65

4244 - 98 y + 324 x - 49 y^{2} + 81 x^{2} = 0

What is -36x^2+y^2=36 ?
The solution to -36x^2+y^2=36 is Hyperbola with (h,k)=(0,0),a=6,b=1