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D( u )
u = 0
u = 0
u = 0
u in (-oo:0) U (0:+oo)
2-8/u = (-5/4)*u+1+8 // - (-5/4)*u+1+8
2-((-5/4)*u)-8/u-8-1 = 0
(5/4)*u-8/u-8-1+2 = 0
5/4*u^1-8*u^-1-7*u^0 = 0
(5/4*u^2-7*u^1-8*u^0)/(u^1) = 0 // * u^2
u^1*(5/4*u^2-7*u^1-8*u^0) = 0
u^1
(5/4)*u^2-7*u-8 = 0
(5/4)*u^2-7*u-8 = 0
DELTA = (-7)^2-(-8*4*(5/4))
DELTA = 89
DELTA > 0
u = (89^(1/2)+7)/(2*(5/4)) or u = (7-89^(1/2))/(2*(5/4))
u = 2/5*(89^(1/2)+7) or u = 2/5*(7-89^(1/2))
u in { 2/5*(7-89^(1/2)), 2/5*(89^(1/2)+7)}
u in { 2/5*(7-89^(1/2)), 2/5*(89^(1/2)+7) }
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