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D( x )
x = 0
x^2 = 0
x = 0
x = 0
x^2 = 0
x^2 = 0
1*x^2 = 0 // : 1
x^2 = 0
x = 0
x in (-oo:0) U (0:+oo)
6*x-(7/x)-(1/(x^2)) = 5 // - 5
6*x-(7/x)-(1/(x^2))-5 = 0
6*x-7*x^-1-x^-2-5 = 0
6*x^1-7*x^-1-1*x^-2-5*x^0 = 0
(6*x^3-5*x^2-7*x^1-1*x^0)/(x^2) = 0 // * x^4
x^2*(6*x^3-5*x^2-7*x^1-1*x^0) = 0
x^2
6*x^3-5*x^2-7*x-1 = 0
{ 1, -1 }
1
x = 1
6*x^3-5*x^2-7*x-1 = -7
1
-1
x = -1
6*x^3-5*x^2-7*x-1 = -5
-1
{ 1/2, -1/2, 1/3, -1/3, 1/6, -1/6, -1/2, 1/2, -1/3, 1/3, -1/6, 1/6 }
1/2
x
1/2
6*x^3-5*x^2-7*x-1 = -5
1/2
-1/2
x
-1/2
6*x^3-5*x^2-7*x-1 = 0.5
-1/2
1/3
x
1/3
6*x^3-5*x^2-7*x-1 = -3.66666667
1/3
-1/3
x
-1/3
6*x^3-5*x^2-7*x-1 = 0.55555555
-1/3
1/6
x
1/6
6*x^3-5*x^2-7*x-1 = -2.27777778
1/6
-1/6
x
-1/6
6*x^3-5*x^2-7*x-1 = 0
-1/6
x+1/6
6*x^2-6*x-6
6*x^3-5*x^2-7*x-1
x+1/6
-6*x^3-x^2
-6*x^2-7*x-1
6*x^2+x
-6*x-1
6*x+1
0
6*x^2-6*x-6 = 0
DELTA = (-6)^2-(-6*4*6)
DELTA = 180
DELTA > 0
x = (180^(1/2)+6)/(2*6) or x = (6-180^(1/2))/(2*6)
x = (6*5^(1/2)+6)/12 or x = (6-6*5^(1/2))/12
x in { (6-6*5^(1/2))/12, (6*5^(1/2)+6)/12, -1/6}
x in { (6-6*5^(1/2))/12, (6*5^(1/2)+6)/12, -1/6 }
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