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Find the complex conjugate bar(z_(1)) of {:[z_(1)=-4i-6.],[ bar(z_(1))=◻]:}

Find the complex conjugate z1‾ \overline{z_{1}} of\newlinez1=−4i−6z1‾=□ \begin{array}{l} z_{1}=-4 i-6 \\ \overline{z_{1}}=\square \end{array}

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Full solution

Q. Find the complex conjugate z1‾ \overline{z_{1}} of\newlinez1=−4i−6z1‾=□ \begin{array}{l} z_{1}=-4 i-6 \\ \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=−4i−6z_1 = -4i - 6, −6-6 is the real part and −4-4 is the coefficient of the imaginary part ii. Real part: −6-6 Imaginary part: −4-4
  2. Determine Complex Conjugate: Determine the complex conjugate of z1=−4i−6z_1 = -4i - 6. The complex conjugate of a complex number is obtained by changing the sign of the imaginary part. Therefore, the complex conjugate of −4i−6-4i - 6, denoted as z1ˉ\bar{z_1}, is −6+4i-6 + 4i. Complex conjugate: −6+4i-6 + 4i

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