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D( x )
x-6 = 0
x-6 = 0
x-6 = 0
x-6 = 0 // + 6
x = 6
x in (-oo:6) U (6:+oo)
(2*x^3-(62*x)-60)/(x-6) = 0
(2*x^3-62*x-60)/(x-6) = 0
2*x^3-62*x-60 = 0
2*(x^3-31*x-30) = 0
x^3-31*x-30 = 0
{ 1, -1, 2, -2, 3, -3, 5, -5, 6, -6, 10, -10, 15, -15, 30, -30 }
1
x = 1
x^3-31*x-30 = -60
1
-1
x = -1
x^3-31*x-30 = 0
-1
x+1
x^2-x-30
x^3-31*x-30
x+1
-x^3-x^2
-x^2-31*x-30
x^2+x
-30*x-30
30*x+30
0
x^2-x-30 = 0
DELTA = (-1)^2-(-30*1*4)
DELTA = 121
DELTA > 0
x = (121^(1/2)+1)/(1*2) or x = (1-121^(1/2))/(1*2)
x = 6 or x = -5
x in { -5, 6, -1}
2*(x+5)*(x-6)*(x+1) = 0
2*(x+5)*(x+1) = 0
( x+1 )
x+1 = 0 // - 1
x = -1
( x+5 )
x+5 = 0 // - 5
x = -5
x in { -1, -5 }
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