(x^3+3x^2-2x-8)/(x+2)

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Solution for (x^3+3x^2-2x-8)/(x+2) equation: 


D( x )

x+2 = 0

x+2 = 0

x+2 = 0

x+2 = 0 // - 2

x = -2

x in (-oo:-2) U (-2:+oo)

(x^3+3*x^2-(2*x)-8)/(x+2) = 0

(x^3+3*x^2-2*x-8)/(x+2) = 0

x^3+3*x^2-2*x-8 = 0

x^3+3*x^2-2*x-8 = 0

{ 1, -1, 2, -2, 4, -4, 8, -8 }

1

x = 1

x^3+3*x^2-2*x-8 = -6

1

-1

x = -1

x^3+3*x^2-2*x-8 = -4

-1

2

x = 2

x^3+3*x^2-2*x-8 = 8

2

-2

x = -2

x^3+3*x^2-2*x-8 = 0

-2

x+2

x^2+x-4

x^3+3*x^2-2*x-8

x+2

-x^3-2*x^2

x^2-2*x-8

-x^2-2*x

-4*x-8

4*x+8

0

x^2+x-4 = 0

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

DELTA = 17

DELTA > 0

x = (17^(1/2)-1)/(1*2) or x = (-17^(1/2)-1)/(1*2)

x = (17^(1/2)-1)/2 or x = (-(17^(1/2)+1))/2

x in { (-(17^(1/2)+1))/2, (17^(1/2)-1)/2, -2} 

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

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

( x+(17^(1/2)+1)/2 )

x+(17^(1/2)+1)/2 = 0 // - (17^(1/2)+1)/2

x = -((17^(1/2)+1)/2)

( x-((17^(1/2)-1)/2) )

x-((17^(1/2)-1)/2) = 0 // + (17^(1/2)-1)/2

x = (17^(1/2)-1)/2

x in { -((17^(1/2)+1)/2), (17^(1/2)-1)/2 }

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