4PM1/02R Jun 2024, Question 1: The Discriminant and Nature of Roots
Pearson Edexcel International GCSE Further Pure Mathematics 4PM1 · Paper 2R · Calculator · 4 marks
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The question, in short
A quadratic with coefficient k on x², −(2k + 6) on x and constant 16 has a repeated root; determine the two values k can take.
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Solution · 4 marks
- 1Equal roots: b² − 4ac = 0
- 2(2k + 6)² − 4 × k × 16 = 0
- 34k² − 40k + 36 = 0
- 44(k − 1)(k − 9) = 0
- 5k = 1 or k = 9
Answerk = 1, k = 9
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