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D( x )
2*x+1 = 0
2*x+1 = 0
2*x+1 = 0
2*x+1 = 0 // - 1
2*x = -1 // : 2
x = -1/2
x in (-oo:-1/2) U (-1/2:+oo)
(2*x^3-(9*x^2)+7*x+6)/(2*x+1) = 0
(2*x^3-9*x^2+7*x+6)/(2*x+1) = 0
2*x^3-9*x^2+7*x+6 = 0
2*x^3-9*x^2+7*x+6 = 0
{ 1, -1, 2, -2, 3, -3, 6, -6 }
1
x = 1
2*x^3-9*x^2+7*x+6 = 6
1
-1
x = -1
2*x^3-9*x^2+7*x+6 = -12
-1
2
x = 2
2*x^3-9*x^2+7*x+6 = 0
2
x-2
2*x^2-5*x-3
2*x^3-9*x^2+7*x+6
x-2
4*x^2-2*x^3
7*x-5*x^2+6
5*x^2-10*x
6-3*x
3*x-6
0
2*x^2-5*x-3 = 0
DELTA = (-5)^2-(-3*2*4)
DELTA = 49
DELTA > 0
x = (49^(1/2)+5)/(2*2) or x = (5-49^(1/2))/(2*2)
x = 3 or x = -1/2
x in { -1/2, 3, 2}
(x+1/2)*(x-3)*(x-2) = 0
((x+1/2)*(x-3)*(x-2))/(2*x+1) = 0
( x+1/2 )
x+1/2 = 0 // - 1/2
x = -1/2
( x-2 )
x-2 = 0 // + 2
x = 2
( x-3 )
x-3 = 0 // + 3
x = 3
x in { -1/2}
x in { 2, 3 }
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