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

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


x in (-oo:+oo)

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

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

t_1 = x^(1/3)

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

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

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

DELTA = 256

DELTA > 0

t_1 = (256^(1/2)+14)/(2*5) or t_1 = (14-256^(1/2))/(2*5)

t_1 = 3 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 = 3

x^(1/3)-3 = 0

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

x^(1/3) = 3

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

x = 27

x = 27

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