x-x^(1/3)-24=0

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Solution for x-x^(1/3)-24=0 equation: 


x in (-oo:+oo)

x-x^(1/3)-24 = 0

t_1 = x^(1/3)

1*t_1^3-1*t_1^1-24 = 0

t_1^3-t_1-24 = 0

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

1

t_1 = 1

t_1^3-t_1-24 = -24

1

-1

t_1 = -1

t_1^3-t_1-24 = -24

-1

2

t_1 = 2

t_1^3-t_1-24 = -18

2

-2

t_1 = -2

t_1^3-t_1-24 = -30

-2

3

t_1 = 3

t_1^3-t_1-24 = 0

3

t_1-3

t_1^2+3*t_1+8

t_1^3-t_1-24

t_1-3

3*t_1^2-t_1^3

3*t_1^2-t_1-24

9*t_1-3*t_1^2

8*t_1-24

24-8*t_1

0

t_1^2+3*t_1+8 = 0

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

DELTA = -23

DELTA < 0

t_1 in { 3} 

t_1 = 3

x^(1/3)-3 = 0

1*x^(1/3) = 3 // : 1

x^(1/3) = 3

x^(1/3) = 3 // ^ 3

x = 27

x = 27

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