(x^3-x-24)/(x-3)

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Solution for (x^3-x-24)/(x-3) equation: 


D( x )

x-3 = 0

x-3 = 0

x-3 = 0

x-3 = 0 // + 3

x = 3

x in (-oo:3) U (3:+oo)

(x^3-x-24)/(x-3) = 0

x^3-x-24 = 0

x^3-x-24 = 0

{ 1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 8, -8, 12, -12, 24, -24 }

1

x = 1

x^3-x-24 = -24

1

-1

x = -1

x^3-x-24 = -24

-1

2

x = 2

x^3-x-24 = -18

2

-2

x = -2

x^3-x-24 = -30

-2

3

x = 3

x^3-x-24 = 0

3

x-3

x^2+3*x+8

x^3-x-24

x-3

3*x^2-x^3

3*x^2-x-24

9*x-3*x^2

8*x-24

24-8*x

0

x^2+3*x+8 = 0

DELTA = 3^2-(1*4*8)

DELTA = -23

DELTA < 0

x in { 3} 

x-3 = 0

1 = 0

x belongs to the empty set

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