I tried to multiply the 3-i on the top and bottom but then I get lost on what belongs on the bottom and on the top. I thought I would have something like 6-2i/9 but that doesn't seem right. Jan 6 | Chani from Verona, WI | 2 Answers | 0 Votes Mark favorite Subscribe Comment
This is division of 2 complex numbers. 2__ = 3 - i Multiply both numerator and denominator by conjugate number of the denominator. 2 * 3+ i = 3 - i 3 +i separate the rational and irrational numbers from each other 6 + 2i = 3 + 1 i 10 5 5 This is also division of 2 complex numbers into each other. Jan 6 | Parviz F. Comment
Multiply top and bottom by the conjugate, 3+i: 2 3 + i --- * ------ 3-i 3 + i 2(3+i) -------- (3-i)(3+i) 6 + 2i ---------- 9 + 3i - 3i - i^2 6 + 2i ------- 9 - (-1) 6+2i ------- or (3/5) + (1/5) i 10 (3/5) + (i/5) works as well. Jan 6 | Jason S. Comment Comments Oh!! Thank you so much! Jan 6 | Chani from Verona, WI Comment
Comments
Comment