Compute all the 4th roots of a=1+√3 & describe where they are located in the complex plane.
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According to the formula from another problem, [r , θ]ⁿ = [rⁿ, nθ]. If [r⁴, 4θ] = [1+√3, 0], then . You need to find all 0 ≤ θ < 2π such that 4θ is an integer multiple of 2π.
Originally Posted by franios Compute all the 4th roots of a=1+√3 & describe where they are located in the complex plane. Do you mean
Yes
Well, the idea is the same, only now and you need to find all 0 ≤ θ < 2π such that 4θ equals arg(a) up to an integer multiple of 2π
Originally Posted by franios Yes Then . The four fourth roots are
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