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D( x )
2*x-3 = 0
2*x-3 = 0
2*x-3 = 0
2*x-3 = 0 // + 3
2*x = 3 // : 2
x = 3/2
x in (-oo:3/2) U (3/2:+oo)
(4*x^2-(10*x)-2)/(2*x-3) = 0
(4*x^2-10*x-2)/(2*x-3) = 0
4*x^2-10*x-2 = 0
2*(2*x^2-5*x-1) = 0
2*x^2-5*x-1 = 0
DELTA = (-5)^2-(-1*2*4)
DELTA = 33
DELTA > 0
x = (33^(1/2)+5)/(2*2) or x = (5-33^(1/2))/(2*2)
x = (33^(1/2)+5)/4 or x = (5-33^(1/2))/4
2*(x-((5-33^(1/2))/4))*(x-((33^(1/2)+5)/4)) = 0
(2*(x-((5-33^(1/2))/4))*(x-((33^(1/2)+5)/4)))/(2*x-3) = 0
( 2 )
2 = 0
x belongs to the empty set
( x-((33^(1/2)+5)/4) )
x-((33^(1/2)+5)/4) = 0 // + (33^(1/2)+5)/4
x = (33^(1/2)+5)/4
( x-((5-33^(1/2))/4) )
x-((5-33^(1/2))/4) = 0 // + (5-33^(1/2))/4
x = (5-33^(1/2))/4
x in { (33^(1/2)+5)/4, (5-33^(1/2))/4 }
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