(3x^3+10x^2+7x-2)/(x-2)

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Solution for (3x^3+10x^2+7x-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)

(3*x^3+10*x^2+7*x-2)/(x-2) = 0

3*x^3+10*x^2+7*x-2 = 0

3*x^3+10*x^2+7*x-2 = 0

{ 1, -1, 2, -2 }

1

x = 1

3*x^3+10*x^2+7*x-2 = 18

1

-1

x = -1

3*x^3+10*x^2+7*x-2 = -2

-1

2

x = 2

3*x^3+10*x^2+7*x-2 = 76

2

-2

x = -2

3*x^3+10*x^2+7*x-2 = 0

-2

x+2

3*x^2+4*x-1

3*x^3+10*x^2+7*x-2

x+2

-3*x^3-6*x^2

4*x^2+7*x-2

-4*x^2-8*x

-x-2

x+2

0

3*x^2+4*x-1 = 0

DELTA = 4^2-(-1*3*4)

DELTA = 28

DELTA > 0

x = (28^(1/2)-4)/(2*3) or x = (-28^(1/2)-4)/(2*3)

x = (2*7^(1/2)-4)/6 or x = (-2*7^(1/2)-4)/6

x in { (-2*7^(1/2)-4)/6, (2*7^(1/2)-4)/6, -2}

(x-((-2*7^(1/2)-4)/6))*(x-((2*7^(1/2)-4)/6))*(x+2) = 0

((x-((-2*7^(1/2)-4)/6))*(x-((2*7^(1/2)-4)/6))*(x+2))/(x-2) = 0

( x+2 )

x+2 = 0 // - 2

x = -2

( x-((-2*7^(1/2)-4)/6) )

x-((-2*7^(1/2)-4)/6) = 0 // + (-2*7^(1/2)-4)/6

x = (-2*7^(1/2)-4)/6

( x-((2*7^(1/2)-4)/6) )

x-((2*7^(1/2)-4)/6) = 0 // + (2*7^(1/2)-4)/6

x = (2*7^(1/2)-4)/6

x in { -2, (-2*7^(1/2)-4)/6, (2*7^(1/2)-4)/6 }

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