What are the solutions to the equation x^6-x=0 ?

The solutions to the equation x^6-x=0 are x=0,x=1

Find the zeros of x^6-x=0

The zeros of x^6-x=0 are x=0,x=1

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x^{6} - x = 0

x = 0, x = 1

Solution steps

x^{6} - x = 0

Factor

x^{6} - x : x (x - 1) (x^{4} + x^{3} + x^{2} + x + 1)

x (x - 1) (x^{4} + x^{3} + x^{2} + x + 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 1 = 0 or x^{4} + x^{3} + x^{2} + x + 1 = 0

Solve

x - 1 = 0 : x = 1

Solve

x^{4} + x^{3} + x^{2} + x + 1 = 0 :

No Solution for

x \in R

The solutions are

x = 0, x = 1

m^{4} + 4 = 0

x^{3} - 5 x^{2} + 2 x = - 3

x^{3} - 5 x^{2} + 2 x = - 1

0 = 4 y - y^{3}

9 m^{3} - 108 m^{2} + 288 m = 0

What are the solutions to the equation x^6-x=0 ?
The solutions to the equation x^6-x=0 are x=0,x=1
Find the zeros of x^6-x=0
The zeros of x^6-x=0 are x=0,x=1