0580/23 Oct/Nov 2024, Question 23: The Quadratic Formula and Completing the Square
Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Calculator · 2 marks
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The question, in short
Rewrite x² + 8x − 7 in the completed-square form (x + a)² + b, stating the values of a and b.
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Solution · 2 marks
- 1Half of 8 is 4: x² + 8x = (x + 4)² − 16
- 2x² + 8x − 7 = (x + 4)² − 16 − 7
- 3= (x + 4)² − 23
Answer(x + 4)² − 23
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