9x^(2/3)-17x^(1/3)-2

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Solution for 9x^(2/3)-17x^(1/3)-2 equation: 


x in (-oo:+oo)

9*x^(2/3)-(17*x^(1/3))-2 = 0

9*x^(2/3)-17*x^(1/3)-2 = 0

t_1 = x^(1/3)

9*t_1^2-17*t_1^1-2 = 0

9*t_1^2-17*t_1-2 = 0

DELTA = (-17)^2-(-2*4*9)

DELTA = 361

DELTA > 0

t_1 = (361^(1/2)+17)/(2*9) or t_1 = (17-361^(1/2))/(2*9)

t_1 = 2 or t_1 = -1/9

t_1 = -1/9

x^(1/3)+1/9 = 0

1*x^(1/3) = -1/9 // : 1

x^(1/3) = -1/9

( -1/9 < 0 i 1/3 in (0:1) ) => x należy 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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