Find the value of z z z such that ∣z−7∣=3 |z - 7| = 3 ∣z−7∣=3.
Given the equation ∣z−7∣=3 |z - 7| = 3 ∣z−7∣=3, consider the two cases for the absolute value:
Thus, zzz is 10 or 4 10 \text{ or } 4 10 or 4.
z=10 or z=4 z = 10 \text{ or } z = 4 z=10 or z=4