2025 SMBSS P2 Q4

2025 SMBSS P2 Q4

Secondary 4
5 marks

The equation \(x^2-2kx+k+2=0\), where \(k\) is a constant, has real roots.

  1. Show that \(k^2-k-2\ge0\).[2]
  2. Find the range of values of \(k\) and represent the values on a number line.[3]

Solution:

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Answer:(a) Shown. (b) \(k\le-1\) or \(k\ge2\), inclusive endpoints.

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