9x^(2/3)-35x^(1/3)-4=0

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Solution for 9x^(2/3)-35x^(1/3)-4=0 equation: 


x in (-oo:+oo)

9*x^(2/3)-(35*x^(1/3))-4 = 0

9*x^(2/3)-35*x^(1/3)-4 = 0

t_1 = x^(1/3)

9*t_1^2-35*t_1^1-4 = 0

9*t_1^2-35*t_1-4 = 0

DELTA = (-35)^2-(-4*4*9)

DELTA = 1369

DELTA > 0

t_1 = (1369^(1/2)+35)/(2*9) or t_1 = (35-1369^(1/2))/(2*9)

t_1 = 4 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 = 4

x^(1/3)-4 = 0

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

x^(1/3) = 4

x^(1/3) = 4 // ^ 3

x = 64

x = 64

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