What is -5x^2+4y^2=16 ?

The solution to -5x^2+4y^2=16 is Hyperbola with (h,k)=(0,0),a=2,b= 4/(sqrt(5))

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-5x^2+4y^2=16

- 5 x^{2} + 4 y^{2} = 16

(h, k) = (0, 0), a = 2, b = \frac{4}{5}

Solution steps

- 5 x^{2} + 4 y^{2} = 16

Rewrite

- 5 x^{2} + 4 y^{2} = 16

in the form of a standard hyperbola equation

\frac{( y - 0 ) ^{2}}{2 ^{2}} - \frac{( x - 0 ) ^{2}}{( \frac{4}{5} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 2, b = \frac{4}{5}

x^{2} - 4 y^{2} - 4 x - 8 y - 16 = 0

- 9 x^{2} + 25 y^{2} + 50 y - 200 = 0

4 x^{2} - 9 y^{2} - 144 = 0

16 y^{2} - 9 x^{2} + 54 + 64 y - 161 = 0

9 x^{2} - 4 y^{2} - 36 x + 16 y = 0

What is -5x^2+4y^2=16 ?
The solution to -5x^2+4y^2=16 is Hyperbola with (h,k)=(0,0),a=2,b= 4/(sqrt(5))