Connecting squaring and argument of a complex number

Connecting squaring and argument of a complex number

IB Year 6 | Grade 12

Given that \(z=(b+i)^2\), where \(b\) is real and positive, find the exact value of \(b\) when \(\arg(z)=60{}^\circ\).

Solution:

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Answer:\(b=\sqrt3\).

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