What is 9x^2-25y^2+200y=625 ?

The solution to 9x^2-25y^2+200y=625 is Hyperbola with (h,k)=(0,4),a=5,b=3

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9x^2-25y^2+200y=625

9 x^{2} - 25 y^{2} + 200 y = 625

(h, k) = (0, 4), a = 5, b = 3

Solution steps

9 x^{2} - 25 y^{2} + 200 y = 625

Rewrite

9 x^{2} - 25 y^{2} + 200 y = 625

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{5 ^{2}} - \frac{( y - 4 ) ^{2}}{3 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 4), a = 5, b = 3

f (x) (f (x)) = x^{2} + \frac{1}{4}

\frac{( y + 2 ) ^{2}}{30} - \frac{( x - 1 ) ^{2}}{8} = 1

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

3 x^{2} - y^{2} + 30 x + 8 y = - 71

4 x^{2} - 4 y^{2} + 28 x - 8 y + 53 = 0

What is 9x^2-25y^2+200y=625 ?
The solution to 9x^2-25y^2+200y=625 is Hyperbola with (h,k)=(0,4),a=5,b=3