(x^3-4x^2+3x+2)/(x+2)

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Solution for (x^3-4x^2+3x+2)/(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-(4*x^2)+3*x+2)/(x+2) = 0

(x^3-4*x^2+3*x+2)/(x+2) = 0

x^3-4*x^2+3*x+2 = 0

x^3-4*x^2+3*x+2 = 0

{ 1, -1, 2, -2 }

1

x = 1

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

1

-1

x = -1

x^3-4*x^2+3*x+2 = -6

-1

2

x = 2

x^3-4*x^2+3*x+2 = 0

2

x-2

x^2-2*x-1

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

x-2

2*x^2-x^3

3*x-2*x^2+2

2*x^2-4*x

2-x

x-2

0

x^2-2*x-1 = 0

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

DELTA = 8

DELTA > 0

x = (8^(1/2)+2)/(1*2) or x = (2-8^(1/2))/(1*2)

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

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

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

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

( x-((2*2^(1/2)+2)/2) )

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

x = (2*2^(1/2)+2)/2

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

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

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

( x-2 )

x-2 = 0 // + 2

x = 2

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

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