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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
5*x+4/x-1 = 8 // - 8
5*x+4/x-8-1 = 0
5*x^1+4*x^-1-9*x^0 = 0
(5*x^2-9*x^1+4*x^0)/(x^1) = 0 // * x^2
x^1*(5*x^2-9*x^1+4*x^0) = 0
x^1
5*x^2-9*x+4 = 0
5*x^2-9*x+4 = 0
DELTA = (-9)^2-(4*4*5)
DELTA = 1
DELTA > 0
x = (1^(1/2)+9)/(2*5) or x = (9-1^(1/2))/(2*5)
x = 1 or x = 4/5
x in { 4/5, 1}
x in { 4/5, 1 }
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