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D( x )
2*x-6 = 0
2*x-6 = 0
2*x-6 = 0
2*x-6 = 0 // + 6
2*x = 6 // : 2
x = 6/2
x = 3
x in (-oo:3) U (3:+oo)
(2*x^3-(14*x^2)+20*x+12)/(2*x-6) = 0
(2*x^3-14*x^2+20*x+12)/(2*x-6) = 0
2*x^3-14*x^2+20*x+12 = 0
2*(x^3-7*x^2+10*x+6) = 0
x^3-7*x^2+10*x+6 = 0
{ 1, -1, 2, -2, 3, -3, 6, -6 }
1
x = 1
x^3-7*x^2+10*x+6 = 10
1
-1
x = -1
x^3-7*x^2+10*x+6 = -12
-1
2
x = 2
x^3-7*x^2+10*x+6 = 6
2
-2
x = -2
x^3-7*x^2+10*x+6 = -50
-2
3
x = 3
x^3-7*x^2+10*x+6 = 0
3
x-3
x^2-4*x-2
x^3-7*x^2+10*x+6
x-3
3*x^2-x^3
10*x-4*x^2+6
4*x^2-12*x
6-2*x
2*x-6
0
x^2-4*x-2 = 0
DELTA = (-4)^2-(-2*1*4)
DELTA = 24
DELTA > 0
x = (24^(1/2)+4)/(1*2) or x = (4-24^(1/2))/(1*2)
x = (2*6^(1/2)+4)/2 or x = (4-2*6^(1/2))/2
x in { (4-2*6^(1/2))/2, (2*6^(1/2)+4)/2, 3}
2*(x-((4-2*6^(1/2))/2))*(x-((2*6^(1/2)+4)/2))*(x-3) = 0
(2*(x-((4-2*6^(1/2))/2))*(x-((2*6^(1/2)+4)/2))*(x-3))/(2*x-6) = 0
( x-((2*6^(1/2)+4)/2) )
x-((2*6^(1/2)+4)/2) = 0 // + (2*6^(1/2)+4)/2
x = (2*6^(1/2)+4)/2
( x-((4-2*6^(1/2))/2) )
x-((4-2*6^(1/2))/2) = 0 // + (4-2*6^(1/2))/2
x = (4-2*6^(1/2))/2
( x-3 )
x-3 = 0 // + 3
x = 3
x in { 3}
x in { (2*6^(1/2)+4)/2, (4-2*6^(1/2))/2 }
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