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

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

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-9x^2+y^2=36

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

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

Solution steps

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

Rewrite

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

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

4 x^{2} - 16 x - y^{2} - 6 y + 3 = 0

(\frac{( x + 2 ) ^{2}}{16}) - (\frac{( y - 1 ) ^{2}}{9}) = 1

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

(\frac{x + 1}{25})^{2} - (\frac{y - 4}{144})^{2} = 1

\frac{x ^{2}}{64} - \frac{y ^{2}}{100} = 1

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