What is 10y^2-25x^2=400 ?

The solution to 10y^2-25x^2=400 is Hyperbola with (h,k)=(0,0),a=2sqrt(10),b=4

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10y^2-25x^2=400

10 y^{2} - 25 x^{2} = 400

(h, k) = (0, 0), a = 210, b = 4

Solution steps

10 y^{2} - 25 x^{2} = 400

Rewrite

10 y^{2} - 25 x^{2} = 400

in the form of a standard hyperbola equation

\frac{( y - 0 ) ^{2}}{( 2 10 ) ^{2}} - \frac{( x - 0 ) ^{2}}{4 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 210, b = 4

(a + b) (a - b) = 3168

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

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

9 - x^{2} + y^{2} > 0

- 2 x^{2} + 8 y^{2} - 8 x - 16 y = 30

What is 10y^2-25x^2=400 ?
The solution to 10y^2-25x^2=400 is Hyperbola with (h,k)=(0,0),a=2sqrt(10),b=4