0580/21 Oct/Nov 2024, Question 17: The Quadratic Formula and Completing the Square
Cambridge IGCSE Mathematics 0580 · Paper 21 (Extended) · Calculator · 4 marks
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The question, in short
Solve the quadratic equation 3x² − 7x − 16 = 0, showing all working and giving both answers correct to 2 decimal places.
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Solution · 4 marks
- 1x = (7 ± √((−7)² − 4 × 3 × (−16))) ÷ (2 × 3)
- 2= (7 ± √241) ÷ 6
- 3x = 3.754… or x = −1.420…
- 4x = 3.75 or x = −1.42
Answer3.75 and −1.42
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