x^(4/5)-x^(1/5)

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Solution for x^(4/5)-x^(1/5) equation: 


x in (-oo:+oo)

x^(4/5)-x^(1/5) = 0

t_1 = x^(1/5)

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

t_1^4-t_1 = 0

t_1*(t_1^3-1) = 0

1*t_1^3 = 1 // : 1

t_1^3 = 1

t_1^3 = 1 // ^ 1/3

t_1 = 1

t_1 = 0

t_1 = 0

t_1 = 1

x^(1/5)-1 = 0

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

x^(1/5) = 1

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

x = 1

t_1 = 0

x^(1/5)+0 = 0

x^(1/5) = 0

1*x^(1/5) = 0 // : 1

x^(1/5) = 0

x = 0

x in { 1, 0 }

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