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

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


x in (-oo:+oo)

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

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

t_1 = x^(1/3)

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

t_1^2-3*t_1-4 = 0

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

DELTA = 25

DELTA > 0

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

t_1 = 4 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 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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