What is -4x^2+y^2=36 ?

The solution to -4x^2+y^2=36 is Hyperbola with (h,k)=(0,0),a=6,b=3

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-4x^2+y^2=36

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

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

25 y^{2} - 12 x^{2} - 48 x - 75 y = 0

\frac{( y + 1 ) ^{2}}{5 ^{2}} - \frac{( x - 1 ) ^{2}}{1 ^{2}} = 1

\frac{y ^{2}}{15} - \frac{x ^{2}}{1} = 1

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

x^{2} - 2 y^{2} - 2 x - 8 y - 27 = 0

What is -4x^2+y^2=36 ?
The solution to -4x^2+y^2=36 is Hyperbola with (h,k)=(0,0),a=6,b=3