0580/21 May/Jun 2024, Question 18: Solving Equations by Graphical Methods
Cambridge IGCSE Mathematics 0580 · Paper 21 (Extended) · Calculator · 3 marks
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The question, in short
Using the given cubic graph, find where a straight line you choose intersects it to solve the equation for x between −3 and 1.5.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 3 marks
- 1x³ + 4x² − 2 = 2x, so draw the line y = 2x
- 2y = 2x passes through (−1.5, −3), (0, 0) and (1.5, 3)
- 3Read the x-coordinates where the line crosses the curve
- 4x ≈ −0.52 and x ≈ 0.88
Answerx = −0.5 to −0.55, x = 0.85 to 0.9
Stuck on a step? Read the free lesson: Solving Equations by Graphical Methods
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Also searched as: 0580/21/M/J/24 · 0580_s24_qp_21 · 0580 s24 21 · question 18.
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