4MA1/2H Jan 2023, Question 22: Quadratic Inequalities
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2H (Higher) · Calculator · 3 marks
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The question, in short
Solve the quadratic inequality 6x² + 37x ≤ 35, showing clear algebraic working.
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Solution · 3 marks
- 1Rearrange: 6x² + 37x − 35 ≤ 0
- 2Factorise: (6x − 5)(x + 7) = 0, so critical values x = 5/6 and x = −7
- 3The quadratic is ≤ 0 between the roots, so −7 ≤ x ≤ 5/6
Answer−7 ≤ x ≤ 5/6
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