x^(2/3)-2x^(1/3)-24

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Solution for x^(2/3)-2x^(1/3)-24 equation: 


x in (-oo:+oo)

x^(2/3)-(2*x^(1/3))-24 = 0

x^(2/3)-2*x^(1/3)-24 = 0

t_1 = x^(1/3)

1*t_1^2-2*t_1^1-24 = 0

t_1^2-2*t_1-24 = 0

DELTA = (-2)^2-(-24*1*4)

DELTA = 100

DELTA > 0

t_1 = (100^(1/2)+2)/(1*2) or t_1 = (2-100^(1/2))/(1*2)

t_1 = 6 or t_1 = -4

t_1 = -4

x^(1/3)+4 = 0

1*x^(1/3) = -4 // : 1

x^(1/3) = -4

( -4 < 0 i 1/3 in (0:1) ) => x należy do O

t_1 = 6

x^(1/3)-6 = 0

1*x^(1/3) = 6 // : 1

x^(1/3) = 6

x^(1/3) = 6 // ^ 3

x = 216

x = 216

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