Question #58322

If z = -4 - 3i , then
|z|
is

Expert's answer

Answer on Question #58322 – Math – Complex Analysis

Question

If z=43iz = -4 - 3i, then

z|z|

is

Solution

Let z=43iz = -4 - 3i.

Then z=(4)2+(3)2=16+9=25=5|z| = \sqrt{(-4)^2 + (-3)^2} = \sqrt{16 + 9} = \sqrt{25} = 5.

Answer: z=5|z| = 5.

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