What are the solutions to the equation x*=x^3 ?

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

Find the zeros of x*=x^3

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

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x \cdot = x^{3}

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

Solution steps

x = x^{3}

Switch sides

x^{3} = x

Move

x \cdot

to the left side

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

x, (3 x + 2 y)^{3} = 1 0^{3}

(x^{2} - 5 x + 4)^{2} - 5 (x^{2} - 5 x) - 18 = 0

x^{3} - 3 x^{2} - 4 x + 8 = 0

x^{3} + x - 5 = 0

16 x^{3} + 23 x^{2} + 198 x - 209 = 0

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