What is 625y^2-400x^2=2500 ?

The solution to 625y^2-400x^2=2500 is Hyperbola with (h,k)=(0,0),a=2,b= 5/2

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625y^2-400x^2=2500

625 y^{2} - 400 x^{2} = 2500

(h, k) = (0, 0), a = 2, b = \frac{5}{2}

Solution steps

625 y^{2} - 400 x^{2} = 2500

Rewrite

625 y^{2} - 400 x^{2} = 2500

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 2, b = \frac{5}{2}

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

(y + 2)^{2} - x^{2} + y - 9 = 0

9 x^{2} - y^{2} - 36 x - 6 y + 36 = 0

y^{2} - x^{2} - 2 x - 3 = 0

yy = x^{2} - 2 x

What is 625y^2-400x^2=2500 ?
The solution to 625y^2-400x^2=2500 is Hyperbola with (h,k)=(0,0),a=2,b= 5/2