x^(2/5)+x^(1/5)-6

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Solution for x^(2/5)+x^(1/5)-6 equation: 


x in (-oo:+oo)

x^(2/5)+x^(1/5)-6 = 0

t_1 = x^(1/5)

1*t_1^2+1*t_1^1-6 = 0

t_1^2+t_1-6 = 0

DELTA = 1^2-(-6*1*4)

DELTA = 25

DELTA > 0

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

t_1 = 2 or t_1 = -3

t_1 = -3

x^(1/5)+3 = 0

1*x^(1/5) = -3 // : 1

x^(1/5) = -3

( -3 < 0 i 1/5 in (0:1) ) => x naleu017Cy do O

t_1 = 2

x^(1/5)-2 = 0

1*x^(1/5) = 2 // : 1

x^(1/5) = 2

x^(1/5) = 2 // ^ 5

x = 32

x = 32

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