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In Mathematics / High School | 2014-11-15

If [tex]z = 4 - 3i[/tex], write [tex]z^2 + 17[/tex] in the form [tex]a + bi[/tex], where [tex]a, b \in \mathbb{R}[/tex].

Asked by maeviebix

Answer (2)

( 4 − 3 i ) 2 + 17 = 16 − 24 i − 9 + 17 = 24 − 24 i

Answered by konrad509 | 2024-06-10

To find z 2 + 17 where z = 4 − 3 i , we first calculate z 2 to get 7 − 24 i and then add 17, resulting in 24 − 24 i . The answer is presented in the form a + bi .
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Answered by Anonymous | 2025-06-17