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D( x )
5*x-9 = 0
5*x-9 = 0
5*x-9 = 0
5*x-9 = 0 // + 9
5*x = 9 // : 5
x = 9/5
x in (-oo:9/5) U (9/5:+oo)
9*x-(1/(5*x-9)) = 0
9*x-(5*x-9)^-1 = 0
9*x-1/(5*x-9) = 0
(9*x*(5*x-9))/(5*x-9)-1/(5*x-9) = 0
9*x*(5*x-9)-1 = 0
45*x^2-81*x-1 = 0
45*x^2-81*x-1 = 0
45*x^2-81*x-1 = 0
DELTA = (-81)^2-(-1*4*45)
DELTA = 6741
DELTA > 0
x = (6741^(1/2)+81)/(2*45) or x = (81-6741^(1/2))/(2*45)
x = (3*749^(1/2)+81)/90 or x = (81-3*749^(1/2))/90
(x-((81-3*749^(1/2))/90))*(x-((3*749^(1/2)+81)/90)) = 0
((x-((81-3*749^(1/2))/90))*(x-((3*749^(1/2)+81)/90)))/(5*x-9) = 0
((x-((81-3*749^(1/2))/90))*(x-((3*749^(1/2)+81)/90)))/(5*x-9) = 0 // * 5*x-9
(x-((81-3*749^(1/2))/90))*(x-((3*749^(1/2)+81)/90)) = 0
( x-((3*749^(1/2)+81)/90) )
x-((3*749^(1/2)+81)/90) = 0 // + (3*749^(1/2)+81)/90
x = (3*749^(1/2)+81)/90
( x-((81-3*749^(1/2))/90) )
x-((81-3*749^(1/2))/90) = 0 // + (81-3*749^(1/2))/90
x = (81-3*749^(1/2))/90
x in { (3*749^(1/2)+81)/90, (81-3*749^(1/2))/90 }
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