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If the complex number z = 5 + 4i, work out 1/z.

1/(5 + 4i) * (5 - 4i)/(5 - 4i) = (5 - 4i)/41

Answered by Odin G. • Further Mathematics tutor

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If the complex number z = 5 + 4i, work out 1/z.

Related Further Mathematics A Level answers

Find the general solution to the differential equation; y'' + 4y' = 24x^2

A complex number z has argument θ and modulus 1. Show that (z^n)-(z^-n)=2iSin(nθ).

Prove De Moivre's by induction for the positive integers

Given that z = a + bj, find Re(z/z) and Im(z/z).

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If the complex number z = 5 + 4i, work out 1/z.

Related Further Mathematics A Level answers

Find the general solution to the differential equation; y'' + 4y' = 24x^2

A complex number z has argument θ and modulus 1. Show that (z^n)-(z^-n)=2iSin(nθ).

Prove De Moivre's by induction for the positive integers

Given that z = a + bj, find Re(z/z*) and Im(z/z*).

We're here to help

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Popular Requests

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MyTutor is part of the IXL family of brands:

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Education.com

Vocabulary.com

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Dictionary.com

SpanishDictionary.com

FrenchDictionary.com

Ingles.com

ABCya

© 2026 by IXL Learning

Given that z = a + bj, find Re(z/z) and Im(z/z).