x^(2/3)+9x^(1/3)+14=0

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Solution for x^(2/3)+9x^(1/3)+14=0 equation: 


x in (-oo:+oo)

x^(2/3)+9*x^(1/3)+14 = 0

t_1 = x^(1/3)

1*t_1^2+9*t_1^1+14 = 0

t_1^2+9*t_1+14 = 0

DELTA = 9^2-(1*4*14)

DELTA = 25

DELTA > 0

t_1 = (25^(1/2)-9)/(1*2) or t_1 = (-25^(1/2)-9)/(1*2)

t_1 = -2 or t_1 = -7

t_1 = -7

x^(1/3)+7 = 0

1*x^(1/3) = -7 // : 1

x^(1/3) = -7

( -7 < 0 i 1/3 in (0:1) ) => x naleu017Cy do O

t_1 = -2

x^(1/3)+2 = 0

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

x^(1/3) = -2

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

x belongs to the empty set

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