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

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

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25x^2-4y^2=100

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

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

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

Therefore Hyperbola properties are:

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

9 x^{2} - y^{2} = 36

4 x^{2} - 9 y^{2} - 16 x + 18 y - 7 = 0

10 x^{2} - 4 y^{2} - 8 x - 10 y - 12 = 0

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

x^{2} - 4 y^{2} + 2 x + 8 y - 7 = 0

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