6x^(2/3)-47x^(1/3)-8=0

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Solution for 6x^(2/3)-47x^(1/3)-8=0 equation: 


x in (-oo:+oo)

6*x^(2/3)-(47*x^(1/3))-8 = 0

6*x^(2/3)-47*x^(1/3)-8 = 0

t_1 = x^(1/3)

6*t_1^2-47*t_1^1-8 = 0

6*t_1^2-47*t_1-8 = 0

DELTA = (-47)^2-(-8*4*6)

DELTA = 2401

DELTA > 0

t_1 = (2401^(1/2)+47)/(2*6) or t_1 = (47-2401^(1/2))/(2*6)

t_1 = 8 or t_1 = -1/6

t_1 = -1/6

x^(1/3)+1/6 = 0

1*x^(1/3) = -1/6 // : 1

x^(1/3) = -1/6

( -1/6 < 0 i 1/3 in (0:1) ) => x należy do O

t_1 = 8

x^(1/3)-8 = 0

1*x^(1/3) = 8 // : 1

x^(1/3) = 8

x^(1/3) = 8 // ^ 3

x = 512

x = 512

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