(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find real numbers p and q such that the following equation is true:

[tex]\frac{p}{q+5i}=4e^{\frac{-i\pi}{4}}[/tex]

2. Relevant equations

Euler's formula

3. The attempt at a solution

Ok so I converted the right side to rectangular form using Euler's formula and solved for p. But I don't really know what do after that.

I got [tex]p=5\sqrt{2}q+25\sqrt{2}+25i\sqrt{2}-5qi\sqrt{2}[/tex] but I don't know how to simplify this any further.

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# Homework Help: Complex Numbers problem

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