What is -25x^2+4y^2-100=0 ?

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

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-25x^2+4y^2-100=0

- 25 x^{2} + 4 y^{2} - 100 = 0

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

Solution steps

- 25 x^{2} + 4 y^{2} - 100 = 0

Rewrite

- 25 x^{2} + 4 y^{2} - 100 = 0

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

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

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

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

2 x^{2} - 3 x - 2 y^{2} + 6 y = 1

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

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