What are the solutions to the equation x^3-x^2-x=-1 ?

The solutions to the equation x^3-x^2-x=-1 are x=1,x=-1

Find the zeros of x^3-x^2-x=-1

The zeros of x^3-x^2-x=-1 are x=1,x=-1

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

x = 1, x = - 1

Solution steps

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

Move

1

to the left side

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

Factor

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

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 1 = 0 or x + 1 = 0

Solve

x - 1 = 0 : x = 1

Solve

x + 1 = 0 : x = - 1

The solutions are

x = 1, x = - 1

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

x^{6} - 6 x^{3} + 8 = 0

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

x^{3} - 2 x^{2} + 25 x - 50 = 0

x^{3} + x^{2} = 9 x + 9

What are the solutions to the equation x^3-x^2-x=-1 ?
The solutions to the equation x^3-x^2-x=-1 are x=1,x=-1
Find the zeros of x^3-x^2-x=-1
The zeros of x^3-x^2-x=-1 are x=1,x=-1