30x^(2/3)-9x^(1/3)-3=0

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Solution for 30x^(2/3)-9x^(1/3)-3=0 equation: 


x in (-oo:+oo)

30*x^(2/3)-(9*x^(1/3))-3 = 0

30*x^(2/3)-9*x^(1/3)-3 = 0

t_1 = x^(1/3)

30*t_1^2-9*t_1^1-3 = 0

30*t_1^2-9*t_1-3 = 0

DELTA = (-9)^2-(-3*4*30)

DELTA = 441

DELTA > 0

t_1 = (441^(1/2)+9)/(2*30) or t_1 = (9-441^(1/2))/(2*30)

t_1 = 1/2 or t_1 = -1/5

t_1 = -1/5

x^(1/3)+1/5 = 0

1*x^(1/3) = -1/5 // : 1

x^(1/3) = -1/5

( -1/5 < 0 i 1/3 in (0:1) ) => x należy do O

t_1 = 1/2

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

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

x^(1/3) = 1/2

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

x = 1/8

x = 1/8

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