x^(1/3)-21-4x^(1/6)

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Solution for x^(1/3)-21-4x^(1/6) equation: 


D( x )

x < 0

x < 0

x in <0:+oo)

x^(1/3)-(4*x^(1/6))-21 = 0

x^(1/3)-4*x^(1/6)-21 = 0

t_1 = x^(1/6)

1*t_1^2-4*t_1^1-21 = 0

t_1^2-4*t_1-21 = 0

DELTA = (-4)^2-(-21*1*4)

DELTA = 100

DELTA > 0

t_1 = (100^(1/2)+4)/(1*2) or t_1 = (4-100^(1/2))/(1*2)

t_1 = 7 or t_1 = -3

t_1 = -3

x^(1/6)+3 = 0

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

x^(1/6) = -3

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

t_1 = 7

x^(1/6)-7 = 0

1*x^(1/6) = 7 // : 1

x^(1/6) = 7

x^(1/6) = 7 // ^ 6

x = 117649

x = 117649

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