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z = 50 / (3+4i). What is z in a+bi form?

Multiply by complex conjugate

z = 50 / (3+4i) * (3-4i) / (3-4i)

Rationalise

z = 50 ( 3 - 4i) / 25 = 6 - 8i.

Answered by Ignacio M. • Further Mathematics tutor

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