0580/21 Oct/Nov 2024, Question 23: Expanding Two Brackets
Cambridge IGCSE Mathematics 0580 · Paper 21 (Extended) · Calculator · 2 marks
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The question, in short
Given (x − 5)² + k = x² − px − 21, find the values of p and k.
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Solution · 2 marks
- 1(x − 5)² + k = x² − 10x + 25 + k
- 2Compare x terms: −p = −10 → p = 10
- 3Compare constants: 25 + k = −21 → k = −46
- 4p = 10, k = −46
Answerp = 10, k = −46
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Also searched as: 0580/21/O/N/24 · 0580_w24_qp_21 · 0580 w24 21 · question 23.
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