u-8/u

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Solution for u-8/u equation:


D( u )

u = 0

u = 0

u = 0

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

u-(8/u) = 0

u-8*u^-1 = 0

1*u^1-8*u^-1 = 0

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

u^1*(1*u^2-8*u^0) = 0

u^1

u^2-8 = 0

u^2-8 = 0

DELTA = 0^2-(-8*1*4)

DELTA = 32

DELTA > 0

u = (32^(1/2)+0)/(1*2) or u = (0-32^(1/2))/(1*2)

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

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

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

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