4MA1/2HR Jan 2021, Question 18: Equations That Become Quadratics
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2HR (Higher) · Calculator · 5 marks
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The question, in short
Solve 5/(x + 2) + 3/(x² + 2x) = 2, showing clear algebraic working.
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Solution · 5 marks
- 1x² + 2x = x(x + 2), so the common denominator is x(x + 2)
- 2Combine: (5x + 3)/(x(x + 2)) = 2, so 5x + 3 = 2x² + 4x
- 3Rearrange: 2x² − x − 3 = 0, so (2x − 3)(x + 1) = 0
- 4x = 1.5 and −1
Answer1.5 and −1
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