<prompt> Acha S 1i17 - 1-i17, ambapo isqrt-1. Tafuta S.  <response>: Kuandika upya nambari changamano katika muundo wa nukuu ya polar, 1i sqrt2,textcis,fracpi4 na 1-i sqrt2, maandishicis,-fracpi4, ambapo textcis,theta cos theta isin theta. Kwa nadharia ya De Moivre,anzaalign leftsqrt2,textcis,fracpi4kulia17 - leftsqrt 2,textcis,-fracpi4kulia17 2172,lefttextcis, frac17pi4kulia - 2172,lefttextcis,-frac17pi4kulia 2172kushotomaandishiciskushotofracpi4kulia - maandishiciskushoto-fracpi4 kuliakulia 2172kushoto2idhambi fracpi4kulia 2172 cdot 2 cdot 2-12i 29i 512,i mwishoalign 