0580/21 Oct/Nov 2025, Question 22: Equations That Become Quadratics
Cambridge IGCSE Mathematics 0580 · Paper 21 (Extended) · Non-calculator · 5 marks
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The question, in short
Solve the equation 2/(x − 1) = x/(x + 2) for x, showing working for full marks.
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Solution · 5 marks
- 12(x + 2) = x(x − 1)
- 22x + 4 = x² − x
- 3x² − 3x − 4 = 0
- 4(x − 4)(x + 1) = 0
- 5x = −1 or x = 4
Answer−1 and 4
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