4=u-32/u

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Solution for 4=u-32/u equation: 


D( u )

u = 0

u = 0

u = 0

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

4 = u-(32/u) // - u-(32/u)

32/u-u+4 = 0

32*u^-1-1*u^1+4*u^0 = 0

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

u^1*(4*u^1-1*u^2+32*u^0) = 0

u^1

4*u-u^2+32 = 0

4*u-u^2+32 = 0

DELTA = 4^2-(-1*4*32)

DELTA = 144

DELTA > 0

u = (144^(1/2)-4)/(-1*2) or u = (-144^(1/2)-4)/(-1*2)

u = -4 or u = 8

u in { -4, 8} 

u in { -4, 8 }

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