Asked by Cain
Find all of the solutions of the equation x^4-625i=0 and represent the solutions graphically.
Answers
Answered by
Steve
(x^2-25√i)(x^2+25√i)
(x-5∜i)(x+5∜i)(x-5∜i i)(x+5∜i i)
Now just use de Moivre's formulas to find ∜i.
If you want, you can rephrase these solutions as
±5(-1)^(1/8)
±5(-1)^(5/8)
(x-5∜i)(x+5∜i)(x-5∜i i)(x+5∜i i)
Now just use de Moivre's formulas to find ∜i.
If you want, you can rephrase these solutions as
±5(-1)^(1/8)
±5(-1)^(5/8)
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