(5x^(2/3))-(9x^(1/3))-2=0

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Solution for (5x^(2/3))-(9x^(1/3))-2=0 equation: 


x in (-oo:+oo)

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

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

t_1 = x^(1/3)

5*t_1^2-9*t_1^1-2 = 0

5*t_1^2-9*t_1-2 = 0

DELTA = (-9)^2-(-2*4*5)

DELTA = 121

DELTA > 0

t_1 = (121^(1/2)+9)/(2*5) or t_1 = (9-121^(1/2))/(2*5)

t_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 naleu017Cy do O

t_1 = 2

x^(1/3)-2 = 0

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

x^(1/3) = 2

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

x = 8

x = 8

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