(x^(3)-6x^(2)-24x-17)/(x+1)

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Solution for (x^(3)-6x^(2)-24x-17)/(x+1) equation:


D( x )

x+1 = 0

x+1 = 0

x+1 = 0

x+1 = 0 // - 1

x = -1

x in (-oo:-1) U (-1:+oo)

(x^3-(6*x^2)-(24*x)-17)/(x+1) = 0

(x^3-6*x^2-24*x-17)/(x+1) = 0

x^3-6*x^2-24*x-17 = 0

x^3-6*x^2-24*x-17 = 0

{ 1, -1, 17, -17 }

1

x = 1

x^3-6*x^2-24*x-17 = -46

1

-1

x = -1

x^3-6*x^2-24*x-17 = 0

-1

x+1

x^2-7*x-17

x^3-6*x^2-24*x-17

x+1

-x^3-x^2

-7*x^2-24*x-17

7*x^2+7*x

-17*x-17

17*x+17

0

x^2-7*x-17 = 0

DELTA = (-7)^2-(-17*1*4)

DELTA = 117

DELTA > 0

x = (117^(1/2)+7)/(1*2) or x = (7-117^(1/2))/(1*2)

x = (3*13^(1/2)+7)/2 or x = (7-3*13^(1/2))/2

x in { (7-3*13^(1/2))/2, (3*13^(1/2)+7)/2, -1}

(x-((7-3*13^(1/2))/2))*(x-((3*13^(1/2)+7)/2))*(x+1) = 0

(x-((7-3*13^(1/2))/2))*(x-((3*13^(1/2)+7)/2)) = 0

( x-((3*13^(1/2)+7)/2) )

x-((3*13^(1/2)+7)/2) = 0 // + (3*13^(1/2)+7)/2

x = (3*13^(1/2)+7)/2

( x-((7-3*13^(1/2))/2) )

x-((7-3*13^(1/2))/2) = 0 // + (7-3*13^(1/2))/2

x = (7-3*13^(1/2))/2

x in { (3*13^(1/2)+7)/2, (7-3*13^(1/2))/2 }

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