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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) = 4-x // - 4-x
(3*x-2)^(1/2)+x-4 = 0
(3*x-2)^(1/2) = x-4 // - x-4
(3*x-2)^(1/2) = -(x-4) // ^ 2
abs(3*x-2) = (-(x-4))^2 // - (-(x-4))^2
abs(3*x-2)-(-(x-4))^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-(-(x-4))^2-2 = 0
x in (-oo:2/3)
2-(-(x-4))^2-(3*x) = 0
abs(3*x-2)-(-(x-4))^2 = 0
/ | 2-(-(x-4))^2-(3*x) = 0 i x in (-oo:2/3) | 3*x-(-(x-4))^2-2 = 0 i x in <2/3:+oo)
x in (-oo:2/3)
2-(-(x-4))^2-(3*x) = 0
2-1*(4-x)^2-3*x = 0
2-1*(4-x)^2-3*x = 0
5*x-x^2-16+2 = 0
5*x-x^2-14 = 0
5*x-x^2-14 = 0
5*x-x^2-14 = 0
DELTA = 5^2-(-14*(-1)*4)
DELTA = -31
DELTA < 0
1 = 0
1 = 0
x in <2/3:+oo)
3*x-(-(x-4))^2-2 = 0
3*x-1*(4-x)^2-2 = 0
3*x-1*(4-x)^2-2 = 0
11*x-x^2-16-2 = 0
11*x-x^2-18 = 0
11*x-x^2-18 = 0
11*x-x^2-18 = 0
DELTA = 11^2-(-18*(-1)*4)
DELTA = 49
DELTA > 0
x = (49^(1/2)-11)/(-1*2) or x = (-49^(1/2)-11)/(-1*2)
x = 2 or x = 9
(x-2)*(x-9) = 0
(x-2)*(x-9) = 0
( x-2 )
x-2 = 0 // + 2
x = 2
( x-9 )
x-9 = 0 // + 9
x = 9
x in { 2, 9 }
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