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Algebra · Polynomial-Equations

Solve x^3 - x = 0

x^{3} - x = 0

Քայլ առ քայլ

  1. x^{3} - x = 0

    Start from the equation as given.

  2. x \left(x - 1\right) \left(x + 1\right) = 0

    Factor the polynomial (rational-root test + division).

  3. x = 0 \;\Rightarrow\; 0

    Set each factor equal to zero and solve it.

  4. x + 1 = 0 \;\Rightarrow\; -1

    Set each factor equal to zero and solve it.

  5. x - 1 = 0 \;\Rightarrow\; 1

    Set each factor equal to zero and solve it.

  6. x = 0 ,\; x = -1 ,\; x = 1

    All 3 roots.

Առաջարկել պատասխանը
x = 0 ,\; x = -1 ,\; x = 1