Real quadratic equations from a complex root

Real quadratic equations from a complex root

IB Year 6 | Grade 12

Find all real quadratic equations having \(2-\sqrt{3}\,i\) as one of the roots.

Solution:

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Answer:\(k(x^2-4x+7)=0,\quad k\in\mathbb{R}\setminus\{0\}\)

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