What is 4x^2-25y^2+100y=200 ?

The solution to 4x^2-25y^2+100y=200 is Hyperbola with (h,k)=(0,2),a=5,b=2

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4x^2-25y^2+100y=200

4 x^{2} - 25 y^{2} + 100 y = 200

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

Solution steps

4 x^{2} - 25 y^{2} + 100 y = 200

Rewrite

4 x^{2} - 25 y^{2} + 100 y = 200

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

f (x) = x^{2} - 3

16 x^{2} - 9 y^{2} = 144

y^{2} = - 9 x

x^{2} + 20 x + y^{2} + 16 y = - 20

\frac{x ^{2}}{64} - \frac{y ^{2}}{36} = 1

What is 4x^2-25y^2+100y=200 ?
The solution to 4x^2-25y^2+100y=200 is Hyperbola with (h,k)=(0,2),a=5,b=2