12x^(2/3)-2x^(1/3)-2=0

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Solution for 12x^(2/3)-2x^(1/3)-2=0 equation: 


x in (-oo:+oo)

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

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

t_1 = x^(1/3)

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

12*t_1^2-2*t_1-2 = 0

DELTA = (-2)^2-(-2*4*12)

DELTA = 100

DELTA > 0

t_1 = (100^(1/2)+2)/(2*12) or t_1 = (2-100^(1/2))/(2*12)

t_1 = 1/2 or t_1 = -1/3

t_1 = -1/3

x^(1/3)+1/3 = 0

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

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

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

t_1 = 1/2

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

1*x^(1/3) = 1/2 // : 1

x^(1/3) = 1/2

x^(1/3) = 1/2 // ^ 3

x = 1/8

x = 1/8

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