Unknowns from a complex number and its conjugate

Unknowns from a complex number and its conjugate

IB Year 6 | Grade 12

It is given that \(z=(a+b)+(a-b)i\) and \(z^*=6-2i\), where \(a,\ b\in\mathbb{R}\). Find the values of \(a\) and \(b\).

Solution:

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Answer:\(a=4,\ b=2\)

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