Answer on Question #58322 – Math – Complex Analysis
Question
If z=−4−3iz = -4 - 3iz=−4−3i, then
∣z∣|z|∣z∣
is
Solution
Let z=−4−3iz = -4 - 3iz=−4−3i.
Then ∣z∣=(−4)2+(−3)2=16+9=25=5|z| = \sqrt{(-4)^2 + (-3)^2} = \sqrt{16 + 9} = \sqrt{25} = 5∣z∣=(−4)2+(−3)2=16+9=25=5.
Answer: ∣z∣=5|z| = 5∣z∣=5.
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