(-3x^3+5x+14)/(x-2)

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Solution for (-3x^3+5x+14)/(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)

(5*x-3*x^3+14)/(x-2) = 0

5*x-3*x^3+14 = 0

5*x-3*x^3+14 = 0

{ 1, -1, 2, -2, 7, -7, 14, -14 }

1

x = 1

5*x-3*x^3+14 = 16

1

-1

x = -1

5*x-3*x^3+14 = 12

-1

2

x = 2

5*x-3*x^3+14 = 0

2

x-2

-3*x^2-6*x-7

5*x-3*x^3+14

x-2

3*x^3-6*x^2

5*x-6*x^2+14

6*x^2-12*x

14-7*x

7*x-14

0

-3*x^2-6*x-7 = 0

DELTA = (-6)^2-(-7*(-3)*4)

DELTA = -48

DELTA < 0

x in { 2} 

x-2 = 0

1 = 0

x belongs to the empty set

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