x^(2/3)-6x^(1/3)-16

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Solution for x^(2/3)-6x^(1/3)-16 equation: 


x in (-oo:+oo)

x^(2/3)-(6*x^(1/3))-16 = 0

x^(2/3)-6*x^(1/3)-16 = 0

t_1 = x^(1/3)

1*t_1^2-6*t_1^1-16 = 0

t_1^2-6*t_1-16 = 0

DELTA = (-6)^2-(-16*1*4)

DELTA = 100

DELTA > 0

t_1 = (100^(1/2)+6)/(1*2) or t_1 = (6-100^(1/2))/(1*2)

t_1 = 8 or t_1 = -2

t_1 = -2

x^(1/3)+2 = 0

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

x^(1/3) = -2

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

t_1 = 8

x^(1/3)-8 = 0

1*x^(1/3) = 8 // : 1

x^(1/3) = 8

x^(1/3) = 8 // ^ 3

x = 512

x = 512

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