z^2-2(4+3i)/(3+i)z+5(5+i)/(3+i)=0z^2-2(4+3i)(3-i)z/10+5(5+i)(3-i)/10=0z^2-2(15+5i)z/10+5(16-2i)/10=0z^2-(3+i)z+(8-i)=0△=(3+i)^2-4(8-i)=-24+10i=(5i+1)^2所以z1=(3+i+5i+1)/2=2+3i z2=(3+i-5i-1)/2=1-2i
设z=a+bi,然后慢慢做呗,这题完全不到竞赛的难度啊
像实数方程那样解就行了