2025 WGS P2 Q3

2025 WGS P2 Q3

Secondary 4
3 marks

Show that the quadratic expression \(x^2-px+p^2+1\) is always positive for all real values of \(x\).[3]

Solution:

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Answer:\(\Delta=-3p^2-4<0\) and leading coefficient \(1>0\); positivity shown.

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