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Solve the equation 64x³ + 9x = 0. z is a complex number such that | z3i| = 2|z- 31. Find, in its simplest form, the Cartesian equation of the locus of z, and describe this locus.

Solve the equation 64x³ + 9x = 0. z is a complex number such that | z3i| = 2|z- 31. Find, in its simplest form, the Cartesian equation of the locus of z, and describe this locus.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(a) Solve the equation 64x³ + 9x = 0. (b) z is a complex number such that | z3i| = 2 |z- 31. Find, in its simplest form, the Cartesian equation of the locus of z, and describe this locus. (c) Find the square roots of 140 481. All working must be shown. Just giving the answers, even the correct ones, will score no marks if this working is not seen.
Transcribed Image Text:(a) Solve the equation 64x³ + 9x = 0. (b) z is a complex number such that | z3i| = 2 |z- 31. Find, in its simplest form, the Cartesian equation of the locus of z, and describe this locus. (c) Find the square roots of 140 481. All working must be shown. Just giving the answers, even the correct ones, will score no marks if this working is not seen.
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