10x^(2/3)+29x^(1/3)+10=0

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Solution for 10x^(2/3)+29x^(1/3)+10=0 equation: 


x in (-oo:+oo)

10*x^(2/3)+29*x^(1/3)+10 = 0

t_1 = x^(1/3)

10*t_1^2+29*t_1^1+10 = 0

10*t_1^2+29*t_1+10 = 0

DELTA = 29^2-(4*10*10)

DELTA = 441

DELTA > 0

t_1 = (441^(1/2)-29)/(2*10) or t_1 = (-441^(1/2)-29)/(2*10)

t_1 = -2/5 or t_1 = -5/2

t_1 = -5/2

x^(1/3)+5/2 = 0

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

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

( -5/2 < 0 i 1/3 in (0:1) ) => x naleu017Cy do O

t_1 = -2/5

x^(1/3)+2/5 = 0

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

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

( -2/5 < 0 i 1/3 in (0:1) ) => x naleu017Cy do O

x belongs to the empty set

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