∣a−2∣=6 \left| a - 2 \right| = 6 ∣a−2∣=6
To solve ∣a−2∣=6 \left| a - 2 \right| = 6 ∣a−2∣=6, consider the cases:
1. a−2=6 a - 2 = 6 a−2=6 leads to a=8 a = 8 a=8
2. a−2=−6 a - 2 = -6 a−2=−6 leads to a=−4 a = -4 a=−4
Thus, the solutions are a=8 a = 8 a=8 and a=−4 a = -4 a=−4.
a=8 a = 8 a=8, a=−4 a = -4 a=−4