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

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


x in (-oo:+oo)

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

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

t_1 = x^(1/3)

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

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

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

DELTA = 2116

DELTA > 0

t_1 = (2116^(1/2)+44)/(2*5) or t_1 = (44-2116^(1/2))/(2*5)

t_1 = 9 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 = 9

x^(1/3)-9 = 0

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

x^(1/3) = 9

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

x = 729

x = 729

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