How to find the roots of x^3-2

Urijah Estes

Urijah Estes

Answered question

2022-07-21

How to find the roots of x 3 2

Answer & Explanation

Reese King

Reese King

Beginner2022-07-22Added 13 answers

If ω 3 = 1 and x 3 = 2 then ( ω x ) 3 = ω 3 x 3 = 2
Possible values of ω are e 1 3 2 i π , e 2 3 2 i π and e 3 3 2 i π . This is because 1 = e 2 i π = ( e 1 k 2 i π ) k
So the solutions of x 3 2 = 0 are e 1 3 2 i π 2 3 , e 2 3 2 i π 2 3 and 2 3

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