9x^(2/3)-44x^(1/3)-5=0

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Solution for 9x^(2/3)-44x^(1/3)-5=0 equation: 


x in (-oo:+oo)

9*x^(2/3)-(44*x^(1/3))-5 = 0

9*x^(2/3)-44*x^(1/3)-5 = 0

t_1 = x^(1/3)

9*t_1^2-44*t_1^1-5 = 0

9*t_1^2-44*t_1-5 = 0

DELTA = (-44)^2-(-5*4*9)

DELTA = 2116

DELTA > 0

t_1 = (2116^(1/2)+44)/(2*9) or t_1 = (44-2116^(1/2))/(2*9)

t_1 = 5 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 = 5

x^(1/3)-5 = 0

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

x^(1/3) = 5

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

x = 125

x = 125

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