SOLUTION: find a complex number such that radical i = a+bi.

SOLUTION: find a complex number such that radical i = a+bi.

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Question 230805: find a complex number such that radical i = a+bi.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
radical i = a+bi.

square both sides

2ab = 1 --> a = 1/(2b)
a^2 = b^2
1/(4b^2) = b^2
4b^4 = 1
a = b = 1/2
a = b = -1/2
a = b = 2 complex roots, also
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