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

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


x in (-oo:+oo)

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

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

t_1 = x^(1/3)

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

t_1^2-2*t_1-12 = 0

DELTA = (-2)^2-(-12*1*4)

DELTA = 52

DELTA > 0

t_1 = (52^(1/2)+2)/(1*2) or t_1 = (2-52^(1/2))/(1*2)

t_1 = (2*13^(1/2)+2)/2 or t_1 = (2-2*13^(1/2))/2

t_1 = (2-2*13^(1/2))/2

x^(1/3)-((2-2*13^(1/2))/2) = 0

1*x^(1/3) = (2-2*13^(1/2))/2 // : 1

x^(1/3) = (2-2*13^(1/2))/2

( (2-2*13^(1/2))/2 < 0 i 1/3 in (0:1) ) => x należy do O

t_1 = (2*13^(1/2)+2)/2

x^(1/3)-((2*13^(1/2)+2)/2) = 0

1*x^(1/3) = (2*13^(1/2)+2)/2 // : 1

x^(1/3) = (2*13^(1/2)+2)/2

x^(1/3) = (2*13^(1/2)+2)/2 // ^ 3

x = ((2*13^(1/2)+2)^3)/8

x = ((2*13^(1/2)+2)^3)/8

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