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D( x )
2*x^3+4*x^2-(6*x) = 0
2*x^3+4*x^2-(6*x) = 0
2*x^3+4*x^2-(6*x) = 0
2*x^3+4*x^2-6*x = 0
2*x^3+4*x^2-6*x = 0
2*x*(x^2+2*x-3) = 0
x^2+2*x-3 = 0
DELTA = 2^2-(-3*1*4)
DELTA = 16
DELTA > 0
x = (16^(1/2)-2)/(1*2) or x = (-16^(1/2)-2)/(1*2)
x = 1 or x = -3
2*x = 0
2*x = 0 // : 2
x = 0
x in (-oo:-3) U (-3:0) U (0:1) U (1:+oo)
(6*x^3-(12*x^2)-(6*x)+12)/(2*x^3+4*x^2-(6*x)) = 0
(6*x^3-12*x^2-6*x+12)/(2*x^3+4*x^2-6*x) = 0
6*x^3-12*x^2-6*x+12 = 0
6*(x^3-2*x^2-x+2) = 0
x^3-2*x^2-x+2 = 0
{ 1, -1, 2, -2 }
1
x = 1
x^3-2*x^2-x+2 = 0
1
x-1
x^2-x-2
x^3-2*x^2-x+2
x-1
x^2-x^3
2-x^2-x
x^2-x
2-2*x
2*x-2
0
x^2-x-2 = 0
DELTA = (-1)^2-(-2*1*4)
DELTA = 9
DELTA > 0
x = (9^(1/2)+1)/(1*2) or x = (1-9^(1/2))/(1*2)
x = 2 or x = -1
x in { -1, 2, 1}
6*(x+1)*(x-2)*(x-1) = 0
2*x^3+4*x^2-6*x = 0
2*x*(x^2+2*x-3) = 0
x^2+2*x-3 = 0
DELTA = 2^2-(-3*1*4)
DELTA = 16
DELTA > 0
x = (16^(1/2)-2)/(1*2) or x = (-16^(1/2)-2)/(1*2)
x = 1 or x = -3
2*x*(x+3)*(x-1) = 0
(6*(x+1)*(x-2)*(x-1))/(2*x*(x+3)*(x-1)) = 0
( x+1 )
x+1 = 0 // - 1
x = -1
( x-1 )
x-1 = 0 // + 1
x = 1
( x-2 )
x-2 = 0 // + 2
x = 2
x in { 1}
x in { -1, 2 }
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