<prompt> Kuna nambari mbili changamano c, sema c_1 na c_2, ili -5 3i, 8 - i, na c zitengeneze wima za pembetatu iliyo sawa. Tafuta bidhaa c_1 c_2.asyukubwa wa kitengo 0.5 cm;jozi A, B;jozi C;A 2,2;B 5,1;C1 zungusha60,AB;C2 zungusha60,BA;kuchoraA--C1--B--C2--mzunguko;choraA--B;nukta -5 3i, A, W;nukta 8 - i, B, E;nuktac_1, C1, N;nuktac_2, C2, S;asy  <response>: Hebu a 2 2i na b 5 i. Acha omega ei pi3. Kisha omega3 ei pi -1, kwa hivyo omega3 1 0, ni mambo ganiomega 1omega2 - omega 1 0.Kwa kuwa omega neq -1, tuna hiyo omega2 - omega 1 0 .Tunaweza kupata nambari changamano c_1 kwa kuzungusha nambari b kuzunguka nambari a kinyume cha saa kwa pi3.asyukubwa 100;jozi A, B;jozi C;A 2,2;B 5,1;C1 zungusha60,AB;C2 zungusha60,BA;kuchoraB--A--C1;kuchorainterpA,B,0.3..interpA,zungusha30,AB,0.3..interpA,C1,0.3,Arrow8;nukta a, A, W;nukta b, B, E;nuktac_1, C1, N;lebofracpi3, interpA,zungusha30,AB,0.3, E;asyHii inatupa equationc_1 - a omega b - a,hivyo c_1 omega b - a a.Vile vile, tunaweza kupata nambari changamano c_2 kwa kuzungusha nambari a karibu na nambari b kinyume cha saa kwa pi3.asyukubwa 100;jozi A, B;jozi C;A 2,2;B 5,1;C1 zungusha60,AB;C2 zungusha60,BA;kuchoraA--B--C2;kuchorainterpB,A,0.3..interpB,zungusha30,BA,0.3..interpB,C2,0.3,Arrow8;nukta a, A, W;nukta b, B, E;nuktac_2, C2, S;lebofracpi3, interpB,zungusha30,BA,0.3, W;asyHii inatupa equationc_2 - b omega a - b,hivyo c_2 omega a - b b.Kishaanzaalignc_1 c_2 omega b - a aomega a - b b -omega2 a - b2 omega aa - b omega bb - a ab -omega2 a - b2 omega a - b2 ab.endalignKwa vile omega2 - omega 1 0 omega ni mzizi wa sita wa umoja, tuna omega2 omega - 1, kwa hivyoanzaalignc_1 c_2 1 - omega a - b2 omega a - b2 ab a - b2 ab a2 - ab b2.endalignKubadilisha a -5 3i na b 8 - i, tunapatac_1 c_2 -5 3i2 - -5 3i 8 - i 8 - i2 116 - 75i. 