What are the solutions to the equation x^3-1=x-1 ?

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

Find the zeros of x^3-1=x-1

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

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x^{3} - 1 = x - 1

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

Solution steps

x^{3} - 1 = x - 1

Move

1

to the right side

x^{3} = x

Move

x

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 (x^{2} + 1) = 0

x (x - 1) (x + 2) = \frac{1}{6} x

z^{7} = (- 1 + 2 j)

x^{4} + x^{2} = 12

2 x^{3} - 24 x^{2} + 70 x = 0

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