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Find the complex conjugate
bar(z_(1)) of
z_(1)=5i+5.

bar(z_(1))=◻

Find the complex conjugate $\overline{z_{1}}$ of $z_{1}=5 i+5$ . $\newline$ $\overline{z_{1}}=\square$

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Complex conjugates

Full solution

Q. Find the complex conjugate

\overline{z_{1}}

of

z_{1}=5 i+5

.

\newline

\overline{z_{1}}=\square

Identify parts of $z_{1}$ : Identify the real and imaginary parts of the complex number $z_{1} = 5i + 5$ . In this case, the real part is $5$ , and the imaginary part is $5i$ . Real part: $5$ Imaginary part: $5i$
Determine complex conjugate: Determine the complex conjugate of $z_{1} = 5i + 5$ . The complex conjugate of a complex number is formed by changing the sign of the imaginary part. Therefore, the complex conjugate of $5i + 5$ is $5 - 5i$ . Complex conjugate: $5 - 5i$

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