Mamaha olana matematika

Dingana amin'ny dingana

1. \left|{x}\right| = 7

   Start from the equation as given.

2. \left|{x}\right| - 7 = 0

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

3. x - 7 = 0 \Rightarrow x = 7

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

4. - x - 7 = 0 \Rightarrow x = -7

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

Asehoy ny valinteny

x = 7 ,\; x = -7