化簡(5+i)(1-2i)/(1+2i)(2-3i),並以a+bi表示答案;苦(5+i)(1-2i)/(1+2i)(2-3i)=2x-(y/5)i,求數式中x和y的值。?
回答 (1)
[(5+i)(1-2i)]/[(1+2i)(2-3i)]
=(47/65)-(79/65)i
[(5+i)(1-2i)]/[(1+2i)(2-3i)]=2x-(y/5)i
(47/65)-(79/65)i=2x-(y/5)i
2x=47/65
x=47/130
y/5=79/65
y=79/13
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