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Find the complex conjugate bar(z_(1)) of {:[z_(1)=-4+5i.],[ bar(z_(1))=◻]:}

Find the complex conjugate z1‾ \overline{z_{1}} of\newlinez1=−4+5iz1‾=□ \begin{array}{l} z_{1}=-4+5 i \\ \overline{z_{1}}=\square \end{array}

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Full solution

Q. Find the complex conjugate z1‾ \overline{z_{1}} of\newlinez1=−4+5iz1‾=□ \begin{array}{l} z_{1}=-4+5 i \\ \overline{z_{1}}=\square \end{array}
  1. Identify Parts of Complex Number: Identify the real and imaginary parts of the complex number z1z_1. In z1=−4+5iz_1 = -4 + 5i, −4-4 is the real part and 55 is the coefficient of the imaginary part ii. Real part: −4-4 Imaginary part: 55
  2. Determine Complex Conjugate: Determine the complex conjugate of z1=−4+5iz_1 = -4 + 5i. The complex conjugate of a complex number is obtained by changing the sign of the imaginary part. Therefore, the complex conjugate of −4+5i-4 + 5i is −4−5i-4 - 5i. Complex conjugate: −4−5i-4 - 5i

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