已知复数z满足,z模=1+3i-z,求(1+i)눀(3+4i)눀⼀2z的值

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2025-02-21 18:04:14
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回答1:

解答:

[(1+i)2(3+4i)2]/(2z)=2i*(24i-7)/2z=-48-14i/2z=-24-7i/z....(1)

设Z=a+bi

则:根号(a^2+b^2)=1+3i-a-bi,求出:b=3,a=-4,即:z=-4+3i,代入(1)式子中,得到:

=(24+7i)/(4-3i)=(24+7i)(4+3i)/25=3+4i