What is -25x^2+4y^2=100 ?

The solution to -25x^2+4y^2=100 is Hyperbola with (h,k)=(0,0),a=5,b=2

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-25x^2+4y^2=100

- 25 x^{2} + 4 y^{2} = 100

(h, k) = (0, 0), a = 5, b = 2

Solution steps

- 25 x^{2} + 4 y^{2} = 100

Rewrite

- 25 x^{2} + 4 y^{2} = 100

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 5, b = 2

\frac{( y + 10 ) ^{2}}{36} - \frac{( x - 3 ) ^{2}}{100} = 1

33 (x - 2)^{2} - 16 (y - 5)^{2} = 528

4 x^{2} - 5 y^{2} - x + 16 y - 1 = 0

9 x^{2} - 16 y^{2} + 54 x - 32 y - 79 = 0

x, x = 3.4 h (x)^{2} - 8 h - 4 x^{2} + 8 x

What is -25x^2+4y^2=100 ?
The solution to -25x^2+4y^2=100 is Hyperbola with (h,k)=(0,0),a=5,b=2