4PM1/02 Nov 2023, Question 1: The Discriminant and Nature of Roots
Pearson Edexcel International GCSE Further Pure Mathematics 4PM1 · Paper 2 · Calculator · 5 marks
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The question, in short
For kx² + 8x + 3k = 0 with real unequal roots, find the exact simplified set of values of k.
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Solution · 5 marks
- 1Real unequal roots: b² − 4ac > 0
- 28² − 4(k)(3k) > 0, so 64 − 12k² > 0
- 3Critical values k = ±√(64/12) = ±4√3/3
- 4Inside region: −4√3/3 < k < 4√3/3
Answer−4√3/3 < k < 4√3/3
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