(x^(4/3))+(2x^(2/3))-24

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Solution for (x^(4/3))+(2x^(2/3))-24 equation: 


x in (-oo:+oo)

x^(4/3)+2*x^(2/3)-24 = 0

t_1 = x^(2/3)

1*t_1^2+2*t_1^1-24 = 0

t_1^2+2*t_1-24 = 0

DELTA = 2^2-(-24*1*4)

DELTA = 100

DELTA > 0

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

t_1 = 4 or t_1 = -6

t_1 = -6

x^(2/3)+6 = 0

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

x^(2/3) = -6

( -6 < 0 i 2/3 in (0:1) ) => x naleu017Cy do O

t_1 = 4

x^(2/3)-4 = 0

1*x^(2/3) = 4 // : 1

x^(2/3) = 4

x^(2/3) = 4 // ^ 3

x^2 = 64 // ^ 1/2

abs(x) = 8

x = 8 or x = -8

x in { 8, -8 }

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