i. Showing all your working and without the use of a calculator, find the roots of the

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i. Showing all your working and without the use of a calculator, find the roots of the complex number 7 −(6√2)i. Give your answers in the form x + iy, where x and y are real and exact.

ii. a. On an Argand diagram, sketch the loci of points representing complex numbers w and z such that |w − 1 − 2i| = 1 and arg(z − 1) = 3/4π.

b. Calculate the least value of |w − z| for points on these loci.

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Cambridge International AS & A Level Mathematics Pure Mathematics 2 & 3 Coursebook

ISBN: 9781108407199

1st Edition

Authors: Sue Pemberton, Julianne Hughes, Julian Gilbey

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Question Posted: Apr 09, 2023 05:26 AM

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i. Showing all your working and without the use of a calculator, find the roots of the

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Step by Step Answer:

Part i To find the roots of the complex number 7 62i we need to solve the equation z2 7 62i Let z x iy where x and y are real numbers Then we have x i...View the full answer

Cambridge International AS & A Level Mathematics Pure Mathematics 2 & 3 Coursebook

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