What is x^{(2)}-y^{(2)}=4 ?

The solution to x^{(2)}-y^{(2)}=4 is Hyperbola with (h,k)=(0,0),a=2,b=2

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

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

(h, k) = (0, 0), a = 2, b = 2

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 2, b = 2

5 x^{2} - 3 y^{2} = 8

d^{2} = (3 - 10 t)^{2} + (2 - 40 t)^{2}

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

\frac{x ^{2}}{4} - \frac{y ^{2}}{64} = 1

\frac{x ^{2}}{2} + \frac{y ^{2}}{- 2 - 16} = 1

What is x^{(2)}-y^{(2)}=4 ?
The solution to x^{(2)}-y^{(2)}=4 is Hyperbola with (h,k)=(0,0),a=2,b=2