设x.y属于R,且x/(1+i)+y/(1+2i)=5/(1+3i)则x、y等于

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设x.y属于R,且x/(1+i)+y/(1+2i)=5/(1+3i)则x、y等于

设x.y属于R,且x/(1+i)+y/(1+2i)=5/(1+3i)则x、y等于
设x.y属于R,且x/(1+i)+y/(1+2i)=5/(1+3i)则x、y等于

设x.y属于R,且x/(1+i)+y/(1+2i)=5/(1+3i)则x、y等于
分母实化
x(1-i)/(1+1)+y(1-2i)/(1+4)=5(1-3i)/(1+9)
两边乘10
5x-5xi+2y-4yi=5-15i
(3x+2y)-(5x+4y)i=5-15i
3x+2y=5
5x+4y=15
所以x=-5,y=10

原式=3y^3-y(4y^2)+y^2y^2
=3y^3-4y^3+y^4
=-y^3+y^4