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

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


x in (-oo:+oo)

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

t_1 = x^(1/3)

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

3*t_1^2+t_1-2 = 0

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

DELTA = 25

DELTA > 0

t_1 = (25^(1/2)-1)/(2*3) or t_1 = (-25^(1/2)-1)/(2*3)

t_1 = 2/3 or t_1 = -1

t_1 = -1

x^(1/3)+1 = 0

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

x^(1/3) = -1

( -1 < 0 i 1/3 in (0:1) ) => x naleu017Cy do O

t_1 = 2/3

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

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

x^(1/3) = 2/3

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

x = 8/27

x = 8/27

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