5
Write down the conjugate of:
(1) (-3+/-1)
(ii) (6+5i) 2
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1
Answer:
\begin{gathered} {(6 + 5i)}^{2} = {6}^{2} + 2 \times 6 \times 5i + {(5i)}^{2} \\ = 36 + 60i - 25 \\ = 11 + 60i \\ therefore \: \: conjugate \: \: of \: \: {(6 + 5i)}^{2} \\ = conjugate \: \: of \: \: 11 + 60i \\ = 11 - 60i\end{gathered}
(6+5i)
2
=6
2
+2×6×5i+(5i)
2
=36+60i−25
=11+60i
thereforeconjugateof(6+5i)
2
=conjugateof11+60i
=11−60i
Step-by-step explanation:
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