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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
((3*x-4)*(3*x-4))/x-1 = 0
((3*x-4)^2)/x-1 = 0
((3*x-4)^2)/x+(-1*x)/x = 0
(3*x-4)^2-1*x = 0
9*x^2-25*x+16 = 0
9*x^2-25*x+16 = 0
9*x^2-25*x+16 = 0
DELTA = (-25)^2-(4*9*16)
DELTA = 49
DELTA > 0
x = (49^(1/2)+25)/(2*9) or x = (25-49^(1/2))/(2*9)
x = 16/9 or x = 1
(x-1)*(x-16/9) = 0
((x-1)*(x-16/9))/x = 0
((x-1)*(x-16/9))/x = 0 // * x
(x-1)*(x-16/9) = 0
( x-1 )
x-1 = 0 // + 1
x = 1
( x-16/9 )
x-16/9 = 0 // + 16/9
x = 16/9
x in { 1, 16/9 }
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