0606/11 Oct/Nov 2025, Question 6: Modulus Equations and Inequalities
Cambridge IGCSE Additional Mathematics 0606 · Paper 11 (Non-calculator) · Non-calculator · 5 marks
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The question, in short
Solve the equation |x² − 5x| = 6 for x.
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Solution · 5 marks
- 1x² − 5x = 6 ⇒ x² − 5x − 6 = 0
- 2(x − 6)(x + 1) = 0 ⇒ x = 6 or −1
- 3x² − 5x = −6 ⇒ x² − 5x + 6 = 0
- 4(x − 3)(x − 2) = 0 ⇒ x = 3 or 2
Answerx = −1, 2, 3, 6
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Also searched as: 0606/11/O/N/25 · 0606_w25_qp_11 · 0606 w25 11 · question 6.
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