0580/23 Oct/Nov 2021, Question 22: Simultaneous Equations with a Curve
Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Calculator · 5 marks
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The question, in short
Solve the simultaneous equations y = x² − 3x − 13 and y = x − 1, showing all working.
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Solution · 5 marks
- 1x² − 3x − 13 = x − 1
- 2x² − 4x − 12 = 0
- 3(x − 6)(x + 2) = 0, so x = 6 or x = −2
- 4y = 6 − 1 = 5 and y = −2 − 1 = −3
- 5x = 6, y = 5 and x = −2, y = −3
Answerx = 6, y = 5 and x = −2, y = −3
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Also searched as: 0580/23/O/N/21 · 0580_w21_qp_23 · 0580 w21 23 · question 22.
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