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Algebra · Absolute-Value

Solve Abs(x - 4) = 0

\left|{x - 4}\right| = 0

Քայլ առ քայլ

  1. \left|{x - 4}\right| = 0

    Start from the equation as given.

  2. \left|{x - 4}\right| = 0

    Split into the two cases inside the absolute value: positive and negative.

  3. x - 4 = 0 \Rightarrow x = 4

    Case x - 4 non-negative: replace |x - 4| by (x - 4) and solve; keep only solutions consistent with that case.

  4. 4 - x = 0 \Rightarrow x = 4

    Case x - 4 negative: replace |x - 4| by −(x - 4) and solve; keep only solutions consistent with that case.

Առաջարկել պատասխանը
x = 4