Unknown coefficient from a sum of squares
Unknown coefficient from a sum of squares
IB Year 6 | Grade 12
The roots of the equation \(x^2-px+(p+3)=0\) are \(\alpha\) and \(\beta\). Given that \(\alpha^2+\beta^2=9\), find the possible values of \(p\).
Solution:
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Answer:\(p=5\) or \(p=-3\)
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