3x^(2/3)-11x^(1/3)-4=0

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Solution for 3x^(2/3)-11x^(1/3)-4=0 equation: 


x in (-oo:+oo)

3*x^(2/3)-(11*x^(1/3))-4 = 0

3*x^(2/3)-11*x^(1/3)-4 = 0

t_1 = x^(1/3)

3*t_1^2-11*t_1^1-4 = 0

3*t_1^2-11*t_1-4 = 0

DELTA = (-11)^2-(-4*3*4)

DELTA = 169

DELTA > 0

t_1 = (169^(1/2)+11)/(2*3) or t_1 = (11-169^(1/2))/(2*3)

t_1 = 4 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 = 4

x^(1/3)-4 = 0

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

x^(1/3) = 4

x^(1/3) = 4 // ^ 3

x = 64

x = 64

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