Đặt \(z=x+yi\)
\(\dfrac{\left(x+yi\right)\left(1+i\right)}{2}+\left(x-yi\right)\left(5+2i\right)=31-17i\)
\(\Leftrightarrow x-y+\left(x+y\right)i+10x+4xi-10yi+4y=31-17i\)
\(\Leftrightarrow\left(11x+3y\right)+\left(5x-9y\right)i=62-34i\)
\(\Leftrightarrow\left\{{}\begin{matrix}11x+3y=62\\5x-9y=-34\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}x=4\\y=6\end{matrix}\right.\)
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