<prompt> Kitendajifz frac-1 i sqrt3 z -2 sqrt3 - 18i2inawakilisha mzunguko wa baadhi ya nambari changamano c . Tafuta c.  <response>: Kwa kuwa mzunguko wa karibu c hurekebisha c, nambari changamano c lazima itimize fc c. Kwa maneno mengine,c frac-1 i sqrt3 c -2 sqrt3 - 18i2Kisha 2c -1 i sqrt3 c -2 sqrt3 - 18i, hivyo3 - i sqrt3 c -2 sqrt3 - 18i.Kishaanzaalignc frac-2 sqrt3 - 18i3 - i sqrt3 frac-2 sqrt3 - 18i3 i sqrt33 - i sqrt33 i sqrt3 frac-6 sqrt3 - 6i - 54i 18 sqrt312 frac12 sqrt3 - 60i12 sqrt3 - 5i.mwishopanga 