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D( x )
3*x-2 < 0
3*x-2 < 0
3*x-2 < 0
3*x-2 < 0 // + 2
3*x < 2 // : 3
x < 2/3
x in <2/3:+oo)
(3*x-2)^(1/2) = x-2 // - x-2
(3*x-2)^(1/2)-x+2 = 0
(3*x-2)^(1/2) = 2-x // - 2-x
(3*x-2)^(1/2) = -(2-x) // ^ 2
abs(3*x-2) = (-(2-x))^2 // - (-(2-x))^2
abs(3*x-2)-(-(2-x))^2 = 0
x in (-oo:+oo)
abs(3*x-2)
3*x-2 >= 0
3*x-2 >= 0 // + 2
3*x >= 2 // : 3
x >= 2/3
x in <2/3:+oo)
3*x-(-(2-x))^2-2 = 0
x in (-oo:2/3)
2-(-(2-x))^2-(3*x) = 0
abs(3*x-2)-(-(2-x))^2 = 0
/ | 2-(-(2-x))^2-(3*x) = 0 i x in (-oo:2/3) | 3*x-(-(2-x))^2-2 = 0 i x in <2/3:+oo)
x in (-oo:2/3)
2-(-(2-x))^2-(3*x) = 0
2-1*(x-2)^2-3*x = 0
2-1*(x-2)^2-3*x = 0
x-x^2-4+2 = 0
x-x^2-2 = 0
x-x^2-2 = 0
x-x^2-2 = 0
DELTA = 1^2-(-2*(-1)*4)
DELTA = -7
DELTA < 0
1 = 0
1 = 0
x in <2/3:+oo)
3*x-(-(2-x))^2-2 = 0
3*x-1*(x-2)^2-2 = 0
3*x-1*(x-2)^2-2 = 0
7*x-x^2-4-2 = 0
7*x-x^2-6 = 0
7*x-x^2-6 = 0
7*x-x^2-6 = 0
DELTA = 7^2-(-6*(-1)*4)
DELTA = 25
DELTA > 0
x = (25^(1/2)-7)/(-1*2) or x = (-25^(1/2)-7)/(-1*2)
x = 1 or x = 6
(x-1)*(x-6) = 0
(x-1)*(x-6) = 0
( x-1 )
x-1 = 0 // + 1
x = 1
( x-6 )
x-6 = 0 // + 6
x = 6
x in { 1, 6 }
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