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D( x )
4*x-5 = 0
4*x-5 = 0
4*x-5 = 0
4*x-5 = 0 // + 5
4*x = 5 // : 4
x = 5/4
x in (-oo:5/4) U (5/4:+oo)
x = 5/(4*x-5) // - 5/(4*x-5)
x-(5/(4*x-5)) = 0
x-5*(4*x-5)^-1 = 0
x-5/(4*x-5) = 0
(x*(4*x-5))/(4*x-5)-5/(4*x-5) = 0
x*(4*x-5)-5 = 0
4*x^2-5*x-5 = 0
4*x^2-5*x-5 = 0
4*x^2-5*x-5 = 0
DELTA = (-5)^2-(-5*4*4)
DELTA = 105
DELTA > 0
x = (105^(1/2)+5)/(2*4) or x = (5-105^(1/2))/(2*4)
x = (105^(1/2)+5)/8 or x = (5-105^(1/2))/8
(x-((5-105^(1/2))/8))*(x-((105^(1/2)+5)/8)) = 0
((x-((5-105^(1/2))/8))*(x-((105^(1/2)+5)/8)))/(4*x-5) = 0
((x-((5-105^(1/2))/8))*(x-((105^(1/2)+5)/8)))/(4*x-5) = 0 // * 4*x-5
(x-((5-105^(1/2))/8))*(x-((105^(1/2)+5)/8)) = 0
( x-((105^(1/2)+5)/8) )
x-((105^(1/2)+5)/8) = 0 // + (105^(1/2)+5)/8
x = (105^(1/2)+5)/8
( x-((5-105^(1/2))/8) )
x-((5-105^(1/2))/8) = 0 // + (5-105^(1/2))/8
x = (5-105^(1/2))/8
x in { (105^(1/2)+5)/8, (5-105^(1/2))/8 }
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