What is x^2-y^2=640 ?

The solution to x^2-y^2=640 is Hyperbola with (h,k)=(0,0),a=8sqrt(10),b=8sqrt(10)

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x^2-y^2=640

x^{2} - y^{2} = 640

(h, k) = (0, 0), a = 810, b = 810

Solution steps

x^{2} - y^{2} = 640

Rewrite

x^{2} - y^{2} = 640

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{( 8 10 ) ^{2}} - \frac{( y - 0 ) ^{2}}{( 8 10 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 810, b = 810

- \frac{1}{2} (\frac{x ^{2}}{2} - 100 x) + C = - 3 y^{2} + 150 y + C

\frac{( ( x - 3 ) ^{2} )}{16} - \frac{( ( y + 1 ) ^{2} )}{4} < 1

9 x^{2} - 4 y^{2} - 36 x - 16 x + 20 = 0

x^{2} - y^{2} + 3 x - 4 y = 6

4 x^{2} - 34 y - 5 y^{2} + 36 = 0

What is x^2-y^2=640 ?
The solution to x^2-y^2=640 is Hyperbola with (h,k)=(0,0),a=8sqrt(10),b=8sqrt(10)