#im so confused: do i need additional information to solve this question? (complex numbers)

39 messages · Page 1 of 1 (latest)

silver imp
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this is all the question is. i have no idea what "different from 1" means

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flat heronBOT
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dim heron
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One of them is 1, the other two are complex

silver imp
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so i start at ω^3 = 1 yes?

silver imp
dim heron
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So it is among the other two

silver imp
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so its gonna be down to the plus or minus in a quadratic as the two right?

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i did it

dim heron
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It is generally advisable to find all the cubic roots of unity though

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But I think the main takeaways are that w² + w + 1 = 0 and w² = conjugate of w

silver imp
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i got ω = two values

dim heron
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Well it is one of the two values you found yes

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You do not know which

silver imp
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one is (-1+ sqrt(-3)) /2

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other is (-1- sqrt(-3)) /2

dim heron
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No

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You are missing i

silver imp
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sqrt(-3) converted to i form

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are those 2 all the possible values?

dim heron
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sqrt(-3) is ill defined

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So no

silver imp
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yeah i mean converted to isqrt(3)

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from sqrt(-3)

dim heron
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Then write that instead

silver imp
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would that be correct then?

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ok

dim heron
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i sqrt(3) is well defined

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Anyway

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I think it isn't too important which of the two you consider

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Seeing that they both verify w² + w + 1 = 0 and w² = conjugate of w

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I think these two properties are enough for you to proceed

silver imp
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alright thanks

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+close

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# silver imp +close
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# bronze anchor

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