f.5 maths. simplify and express 5-ki/i -3k in the form a+bi, where k is real number.?
回答 (1)
2015-08-27 3:58 pm
(5 ‒ ki) / (i ‒ 3k)
= [(5 ‒ ki)(i + 3k)] / [(i ‒ 3k)(i + 3k)]
= (5i + 15k ‒ ki² ‒ 3k²i) / [i² ‒ (3k)²]
= [16k + (5 ‒ 3k²)i] / (‒1 ‒ 9k²)
= [‒16k/(9k² + 1)] + [(3k² ‒ 5)/(9k² + 1)]i
= [(5 ‒ ki)(i + 3k)] / [(i ‒ 3k)(i + 3k)]
= (5i + 15k ‒ ki² ‒ 3k²i) / [i² ‒ (3k)²]
= [16k + (5 ‒ 3k²)i] / (‒1 ‒ 9k²)
= [‒16k/(9k² + 1)] + [(3k² ‒ 5)/(9k² + 1)]i
收錄日期: 2021-04-18 00:08:07
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20150827055245AA3Smni