What is 625y^2-400x^2=250000 ?

The solution to 625y^2-400x^2=250000 is Hyperbola with (h,k)=(0,0),a=20,b=25

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625y^2-400x^2=250000

625 y^{2} - 400 x^{2} = 250000

(h, k) = (0, 0), a = 20, b = 25

Solution steps

625 y^{2} - 400 x^{2} = 250000

Rewrite

625 y^{2} - 400 x^{2} = 250000

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 20, b = 25

49 x^{2} - 25 y^{2} - 686 x - 50 y - 2375 = 0

49 x^{2} - 25 y^{2} - 686 x - 50 y - 2375 = 1

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

a^{2} - b^{2} = 997

25 x^{2} - 36 y^{2} = 900

What is 625y^2-400x^2=250000 ?
The solution to 625y^2-400x^2=250000 is Hyperbola with (h,k)=(0,0),a=20,b=25