(u-1/u)/1-1/u

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Solution for (u-1/u)/1-1/u equation:


D( u )

u = 0

u = 0

u = 0

u in (-oo:0) U (0:+oo)

(u-(1/u))/1-(1/u) = 0

u-u^-1-u^-1 = 0

1*u^1-2*u^-1 = 0

(1*u^2-2*u^0)/(u^1) = 0 // * u^2

u^1*(1*u^2-2*u^0) = 0

u^1

u^2-2 = 0

u^2-2 = 0

DELTA = 0^2-(-2*1*4)

DELTA = 8

DELTA > 0

u = (8^(1/2)+0)/(1*2) or u = (0-8^(1/2))/(1*2)

u = 2^(1/2) or u = -2^(1/2)

u in { -2^(1/2), 2^(1/2)}

u in { -2^(1/2), 2^(1/2) }

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