Question
The complex number which satisfies the equation$$z+\sqrt{2}|z+1|+i=0 \text { is }$$(A) $2-i$(B) $-2-i$(C) $2+i$(D) $-2+i$
Step 1
Let's represent the complex number $z$ as $x+iy$ where $x$ and $y$ are real numbers. So, the equation becomes $x+iy+\sqrt{2}|x+iy+1|+i=0$. Show more…
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The complex number which satisfies the equation $z+\sqrt{2}|z+1|+i=0$ is (A) $2-i$ (B) $-2-i$ (C) $2+i$ (D) $-2+i$
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