What is the absolute values of z is 3z-1 = z -i + 5

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justaguide eNotes educator | Certified Educator

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We have 3z - 1 = z - i + 5. We find z using this.

3z - 1 = z - i + 5

=> 3z - z = 1 + 5 - i

=> 2z = 6 - i

=> z = 3 - i/2

Now the absolute value of z is sqrt [ 3^2 + (1/2)^2]

= sqrt ( 9 + 1/4)

=> sqrt ( 37/4)

=> (sqrt 37) / 2

The required...

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