Respuesta :

Step 1

Given;

[tex]\begin{gathered} A\text{ plotted complex number;} \\ z_1 \\ \end{gathered}[/tex]

Required; To find the complex conjugate

[tex]\bar{z}_1[/tex]

Step 2

Find the complex conjugate

The complex conjugate of a + bi is a - bi. For example, the conjugate of 3 + 15i is 3 - 15i, and the conjugate of 5 - 6i is 5 + 6i.

Hence, from the plot the complex number is;

[tex]\begin{gathered} 7+0i=7 \\ \text{This is because the plot lies on the x-axis and the corresponding y-axis is }0 \end{gathered}[/tex]

The complex conjugate hence will be;

[tex]\begin{gathered} 7-0i=7 \\ \text{Therefore the required complex conjugate = 7} \end{gathered}[/tex]

Hence

[tex]\bar{z}_1=_{}7[/tex]

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