u-8/u*2-64

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Solution for u-8/u*2-64 equation: 


D( u )

u = 0

u = 0

u = 0

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

u-(2*(8/u))-64 = 0

u-16*u^-1-64 = 0

1*u^1-16*u^-1-64*u^0 = 0

(1*u^2-64*u^1-16*u^0)/(u^1) = 0 // * u^2

u^1*(1*u^2-64*u^1-16*u^0) = 0

u^1

u^2-64*u-16 = 0

u^2-64*u-16 = 0

DELTA = (-64)^2-(-16*1*4)

DELTA = 4160

DELTA > 0

u = (4160^(1/2)+64)/(1*2) or u = (64-4160^(1/2))/(1*2)

u = (8*65^(1/2)+64)/2 or u = (64-8*65^(1/2))/2

u in { (64-8*65^(1/2))/2, (8*65^(1/2)+64)/2} 

u in { (64-8*65^(1/2))/2, (8*65^(1/2)+64)/2 }

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