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# Seemingly simple equation, solving for z watch

1. I get up to

But using the quadratic formula yields a term which is messy...
2. (Original post by wanderlust.xx)

I get up to

But using the quadratic formula yields a term which is messy...
3. It's messy but it's correct (assuming that is meant to be ). I think it's fairly safe to assume that you got as far as , which is fine.
4. (Original post by nuodai)
It's messy but it's correct (assuming that is meant to be ). I think it's fairly safe to assume that you got as far as , which is fine.
Yeah, whoops - forgot the i. So I've just tried to denest and I've gotten

Is that correct? I'm having to know stuff I wasn't taught.
5. (Original post by wanderlust.xx)
Yeah, whoops - forgot the i. So I've just tried to denest and I've gotten

Is that correct? I'm having to know stuff I wasn't taught.
Almost; the should just be 3.

What are you having to know that you haven't been taught? If this is A-level, you should know how to find the square root of a complex number (either by using polar form or by writing and comparing coefficients). The only part when it gets dubious as to whether it's on the syllabus is when you take the logarithm of a complex number to find . [But to be honest this question seems needlessly tedious.]

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Updated: April 7, 2011
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