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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
5*x-(2/x) = 4 // - 4
5*x-(2/x)-4 = 0
5*x-2*x^-1-4 = 0
5*x^1-2*x^-1-4*x^0 = 0
(5*x^2-4*x^1-2*x^0)/(x^1) = 0 // * x^2
x^1*(5*x^2-4*x^1-2*x^0) = 0
x^1
5*x^2-4*x-2 = 0
5*x^2-4*x-2 = 0
DELTA = (-4)^2-(-2*4*5)
DELTA = 56
DELTA > 0
x = (56^(1/2)+4)/(2*5) or x = (4-56^(1/2))/(2*5)
x = (2*14^(1/2)+4)/10 or x = (4-2*14^(1/2))/10
x in { (4-2*14^(1/2))/10, (2*14^(1/2)+4)/10}
x in { (4-2*14^(1/2))/10, (2*14^(1/2)+4)/10 }
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