What is -4x^2+9y^2=-9 ?

The solution to -4x^2+9y^2=-9 is Hyperbola with (h,k)=(0,0),a= 3/2 ,b=1

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-4x^2+9y^2=-9

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

(h, k) = (0, 0), a = \frac{3}{2}, b = 1

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = \frac{3}{2}, b = 1

(x - 0)^{2} - (y - 4)^{2} = 1

(x - 0)^{2} - (y - 4)^{2} = 2

\frac{( y - 4 ) ^{2}}{16} - \frac{( x + 3 ) ^{2}}{36} = 1

\frac{y}{4 x ^{2} - 9 y ^{2}} = 36

\frac{( x - 7 ) ^{2}}{16} - \frac{y ^{2}}{9} = 1

What is -4x^2+9y^2=-9 ?
The solution to -4x^2+9y^2=-9 is Hyperbola with (h,k)=(0,0),a= 3/2 ,b=1