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D( x )
9*x^2-4 = 0
9*x^2-4 = 0
9*x^2-4 = 0
9*x^2 = 4 // : 9
x^2 = 4/9
x^2 = 4/9 // ^ 1/2
abs(x) = 2/3
x = 2/3 or x = -2/3
x in (-oo:-2/3) U (-2/3:2/3) U (2/3:+oo)
(18*x)/(9*x^2-4) = 2 // - 2
(18*x)/(9*x^2-4)-2 = 0
(18*x)/(9*x^2-4)+(-2*(9*x^2-4))/(9*x^2-4) = 0
18*x-2*(9*x^2-4) = 0
18*x-18*x^2+8 = 0
18*x-18*x^2+8 = 0
2*(9*x-9*x^2+4) = 0
9*x-9*x^2+4 = 0
DELTA = 9^2-(-9*4*4)
DELTA = 225
DELTA > 0
x = (225^(1/2)-9)/(-9*2) or x = (-225^(1/2)-9)/(-9*2)
x = -1/3 or x = 4/3
2*(x+1/3)*(x-4/3) = 0
(2*(x+1/3)*(x-4/3))/(9*x^2-4) = 0
(2*(x+1/3)*(x-4/3))/(9*x^2-4) = 0 // * 9*x^2-4
2*(x+1/3)*(x-4/3) = 0
( 2 )
2 = 0
x belongs to the empty set
( x+1/3 )
x+1/3 = 0 // - 1/3
x = -1/3
( x-4/3 )
x-4/3 = 0 // + 4/3
x = 4/3
x in { -1/3, 4/3 }
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