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Find all complex numbers z which satisfy the following equatio

Question

Find all complex numbers $z$ which satisfy the following equation
$\overset{z}{ˉ} = 2 - z$

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Oliver Discussed

Find all complex numbers

z

which satisfy the following equation

\overset{z}{ˉ} = 2 - z

7 mins ago

Discuss this question LIVE

7 mins ago

Text solutionVerified

\overline{z} = 2 - z

x - i y = 2 - x - i y

.
This gives

x = 1

.
Hence

z = 1 + i y

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Question Text	Find all complex numbers $z$ which satisfy the following equation $\overset{z}{ˉ} = 2 - z$
Answer Type	Text solution:1
Upvotes	151