Square roots of a complex number
Square roots of a complex number
IB Year 6 | Grade 12
Find the values of the real numbers \(x\) and \(y\) such that the following equality of complex numbers holds:
\[(x^2 - y^2) + 2xyi = 3 + 4i.\]
Solution:
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Answer:\((x,y)=(2,1)\text{ or}\hspace{0.5em}(-2,-1)\)
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