How do you find the complex roots of a complex number?

We can find the roots of complex numbers easily by taking the root of the modulus and dividing the complex numbers’ argument by the given root. This means that we can easily find the roots of different complex numbers and equations with complex roots when the complex numbers are in polar form.

How do you find the complex roots of a complex equation?

Procedure 6.3. 1:Finding Roots of a Complex Number

1. Express both z and w in polar form z=reiθ,w=seiϕ. …
2. Solve the following two equations: rn=s. …
3. The solutions to rn=s are given by r=n√s.
4. The solutions to einθ=eiϕ are given by: nθ=ϕ+2πℓ,forℓ=0,1,2,⋯,n−1. …
5. Using the solutions r,θ to the equations given in (6.3.

How do you find the roots of a complex number?

Video quote: We take we take our R value take the nth root of that and then we have to calculate this quantity cosine of theta plus 2 pi K over n plus I sine of theta plus 2 pi K.

How do you find the complex equation?

Video quote: If I write this as 4 plus I times Z equals 8 minus 3i. I could simply say find the complex. Number that satisfies this equation.