4024/12 May/Jun 2024, Question 24: Equations That Become Quadratics
Cambridge O Level Mathematics 4024 · Paper 12 (Non-calculator) · Non-calculator · 4 marks
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The question, in short
Solve the equation x/(x − 1) − 5/(x − 3) = 1, showing working for 4 marks.
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Solution · 4 marks
- 1Multiply by (x − 1)(x − 3): x(x − 3) − 5(x − 1) = (x − 1)(x − 3)
- 2x² − 3x − 5x + 5 = x² − 4x + 3
- 3−8x + 5 = −4x + 3
- 4−4x = −2
- 5x = 1/2
Answer1/2
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Also searched as: 4024/12/M/J/24 · 4024_s24_qp_12 · 4024 s24 12 · question 24.
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