3x^(2/3)-14x^(1/3)-5=0

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Solution for 3x^(2/3)-14x^(1/3)-5=0 equation: 


x in (-oo:+oo)

3*x^(2/3)-(14*x^(1/3))-5 = 0

3*x^(2/3)-14*x^(1/3)-5 = 0

t_1 = x^(1/3)

3*t_1^2-14*t_1^1-5 = 0

3*t_1^2-14*t_1-5 = 0

DELTA = (-14)^2-(-5*3*4)

DELTA = 256

DELTA > 0

t_1 = (256^(1/2)+14)/(2*3) or t_1 = (14-256^(1/2))/(2*3)

t_1 = 5 or t_1 = -1/3

t_1 = -1/3

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

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

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

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