What are the solutions to the equation -x^3+x=0 ?

The solutions to the equation -x^3+x=0 are x=0,x=-1,x=1

Find the zeros of -x^3+x=0

The zeros of -x^3+x=0 are x=0,x=-1,x=1

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- x^{3} + x = 0

x = 0, x = - 1, x = 1

Solution steps

- x^{3} + x = 0

Factor

- x^{3} + x : - x (x + 1) (x - 1)

- x (x + 1) (x - 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 1 = 0 or x - 1 = 0

Solve

x + 1 = 0 : x = - 1

Solve

x - 1 = 0 : x = 1

The solutions are

x = 0, x = - 1, x = 1

z^{4} = - 2 - 23 i

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

x^{4} + x = 0

z^{4} + 1 - i 3 = 0

3 x^{3} + x^{2} - 12 x - 4 = 0

What are the solutions to the equation -x^3+x=0 ?
The solutions to the equation -x^3+x=0 are x=0,x=-1,x=1
Find the zeros of -x^3+x=0
The zeros of -x^3+x=0 are x=0,x=-1,x=1