x^(2/3)-4x^(1/3)+3=0

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Solution for x^(2/3)-4x^(1/3)+3=0 equation: 


x in (-oo:+oo)

x^(2/3)-(4*x^(1/3))+3 = 0

x^(2/3)-4*x^(1/3)+3 = 0

t_1 = x^(1/3)

1*t_1^2-4*t_1^1+3 = 0

t_1^2-4*t_1+3 = 0

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

DELTA = 4

DELTA > 0

t_1 = (4^(1/2)+4)/(1*2) or t_1 = (4-4^(1/2))/(1*2)

t_1 = 3 or t_1 = 1

t_1 = 1

x^(1/3)-1 = 0

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

x^(1/3) = 1

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

x = 1

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 in { 1, 27 }

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