q^(2/3)+2q^(1/3)=8

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Solution for q^(2/3)+2q^(1/3)=8 equation: 


q in (-oo:+oo)

q^(2/3)+2*q^(1/3) = 8 // - 8

q^(2/3)+2*q^(1/3)-8 = 0

t_1 = q^(1/3)

1*t_1^2+2*t_1^1-8 = 0

t_1^2+2*t_1-8 = 0

DELTA = 2^2-(-8*1*4)

DELTA = 36

DELTA > 0

t_1 = (36^(1/2)-2)/(1*2) or t_1 = (-36^(1/2)-2)/(1*2)

t_1 = 2 or t_1 = -4

t_1 = -4

q^(1/3)+4 = 0

1*q^(1/3) = -4 // : 1

q^(1/3) = -4

( -4 < 0 i 1/3 in (0:1) ) => q naleu017Cy do O

t_1 = 2

q^(1/3)-2 = 0

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

q^(1/3) = 2

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

q = 8

q = 8

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