Question

If lz+4l*2–lz–4l*2=8 then find nature of “z”

Answer 1

2|z + 4| - 2|z - 4| = 8

=> 2(|z + 4| - |z - 4|) = 8

=> |z + 4| - |z - 4| = 4

=> z + 4 + z + 4 = 4

or z + 4 - z + 4 = 4

or z - 4 + z - 4 = 4

or z - 4 - z - 4 = 4

=> 2z = -4

or -2z = 12

=> z = -2

or z = -6