(2x^3+3x^2-8x-9)/(x+1)

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Solution for (2x^3+3x^2-8x-9)/(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)

(2*x^3+3*x^2-(8*x)-9)/(x+1) = 0

(2*x^3+3*x^2-8*x-9)/(x+1) = 0

2*x^3+3*x^2-8*x-9 = 0

2*x^3+3*x^2-8*x-9 = 0

{ 1, -1, 3, -3, 9, -9 }

1

x = 1

2*x^3+3*x^2-8*x-9 = -12

1

-1

x = -1

2*x^3+3*x^2-8*x-9 = 0

-1

x+1

2*x^2+x-9

2*x^3+3*x^2-8*x-9

x+1

-2*x^3-2*x^2

x^2-8*x-9

-x^2-x

-9*x-9

9*x+9

0

2*x^2+x-9 = 0

DELTA = 1^2-(-9*2*4)

DELTA = 73

DELTA > 0

x = (73^(1/2)-1)/(2*2) or x = (-73^(1/2)-1)/(2*2)

x = (73^(1/2)-1)/4 or x = (-(73^(1/2)+1))/4

x in { (-(73^(1/2)+1))/4, (73^(1/2)-1)/4, -1} 

(x+(73^(1/2)+1)/4)*(x-((73^(1/2)-1)/4))*(x+1) = 0

(x+(73^(1/2)+1)/4)*(x-((73^(1/2)-1)/4)) = 0

( x+(73^(1/2)+1)/4 )

x+(73^(1/2)+1)/4 = 0 // - (73^(1/2)+1)/4

x = -((73^(1/2)+1)/4)

( x-((73^(1/2)-1)/4) )

x-((73^(1/2)-1)/4) = 0 // + (73^(1/2)-1)/4

x = (73^(1/2)-1)/4

x in { -((73^(1/2)+1)/4), (73^(1/2)-1)/4 }

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