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D( x )
x+7 = 0
x+7 = 0
x+7 = 0
x+7 = 0 // - 7
x = -7
x in (-oo:-7) U (-7:+oo)
(x^3-(2*x^2)-(68*x)-35)/(x+7) = 0
(x^3-2*x^2-68*x-35)/(x+7) = 0
x^3-2*x^2-68*x-35 = 0
x^3-2*x^2-68*x-35 = 0
{ 1, -1, 5, -5, 7, -7, 35, -35 }
1
x = 1
x^3-2*x^2-68*x-35 = -104
1
-1
x = -1
x^3-2*x^2-68*x-35 = 30
-1
5
x = 5
x^3-2*x^2-68*x-35 = -300
5
-5
x = -5
x^3-2*x^2-68*x-35 = 130
-5
7
x = 7
x^3-2*x^2-68*x-35 = -266
7
-7
x = -7
x^3-2*x^2-68*x-35 = 0
-7
x+7
x^2-9*x-5
x^3-2*x^2-68*x-35
x+7
-x^3-7*x^2
-9*x^2-68*x-35
9*x^2+63*x
-5*x-35
5*x+35
0
x^2-9*x-5 = 0
DELTA = (-9)^2-(-5*1*4)
DELTA = 101
DELTA > 0
x = (101^(1/2)+9)/(1*2) or x = (9-101^(1/2))/(1*2)
x = (101^(1/2)+9)/2 or x = (9-101^(1/2))/2
x in { (9-101^(1/2))/2, (101^(1/2)+9)/2, -7}
(x-((9-101^(1/2))/2))*(x-((101^(1/2)+9)/2))*(x+7) = 0
(x-((9-101^(1/2))/2))*(x-((101^(1/2)+9)/2)) = 0
( x-((101^(1/2)+9)/2) )
x-((101^(1/2)+9)/2) = 0 // + (101^(1/2)+9)/2
x = (101^(1/2)+9)/2
( x-((9-101^(1/2))/2) )
x-((9-101^(1/2))/2) = 0 // + (9-101^(1/2))/2
x = (9-101^(1/2))/2
x in { (101^(1/2)+9)/2, (9-101^(1/2))/2 }
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