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D( x )
5*x-2 = 0
5*x-2 = 0
5*x-2 = 0
5*x-2 = 0 // + 2
5*x = 2 // : 5
x = 2/5
x in (-oo:2/5) U (2/5:+oo)
5*x = 4/(5*x-2) // - 4/(5*x-2)
5*x-(4/(5*x-2)) = 0
5*x-4*(5*x-2)^-1 = 0
5*x-4/(5*x-2) = 0
(5*x*(5*x-2))/(5*x-2)-4/(5*x-2) = 0
5*x*(5*x-2)-4 = 0
25*x^2-10*x-4 = 0
25*x^2-10*x-4 = 0
25*x^2-10*x-4 = 0
DELTA = (-10)^2-(-4*4*25)
DELTA = 500
DELTA > 0
x = (500^(1/2)+10)/(2*25) or x = (10-500^(1/2))/(2*25)
x = (10*5^(1/2)+10)/50 or x = (10-10*5^(1/2))/50
(x-((10-10*5^(1/2))/50))*(x-((10*5^(1/2)+10)/50)) = 0
((x-((10-10*5^(1/2))/50))*(x-((10*5^(1/2)+10)/50)))/(5*x-2) = 0
((x-((10-10*5^(1/2))/50))*(x-((10*5^(1/2)+10)/50)))/(5*x-2) = 0 // * 5*x-2
(x-((10-10*5^(1/2))/50))*(x-((10*5^(1/2)+10)/50)) = 0
( x-((10*5^(1/2)+10)/50) )
x-((10*5^(1/2)+10)/50) = 0 // + (10*5^(1/2)+10)/50
x = (10*5^(1/2)+10)/50
( x-((10-10*5^(1/2))/50) )
x-((10-10*5^(1/2))/50) = 0 // + (10-10*5^(1/2))/50
x = (10-10*5^(1/2))/50
x in { (10*5^(1/2)+10)/50, (10-10*5^(1/2))/50 }
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