2026 QUESTION 1 1 Solve for 𝑥: 1.1 2𝑥 2 − 7𝑥 = 0 (3) 1.2 𝑥 2 = 12𝑥 − 21 (correct to ONE decimal place) (4) 1.3 4𝑥² − 12𝑥 + 8 ≥ 0 (4) 1.4 √5 − 2𝑥 − 𝑥 2 = 4 (6) 1.5 2 2𝑥+1 + 5 . 2 𝑥 − 3 = 0 (5) 2 Given: A = 4 𝑥 2+2 ; 𝑥 ∈ ℝ 2.1 Determine the maximum value of A. Explain your answer. (2) 2.2 For which value of 𝑥 will A have a maximum value? (1) [25] QUESTION 2 1 Solve for 𝑥 and 𝑦 simultaneously: 𝑥 − 2𝑦 = 2 and 𝑥² + 𝑥𝑦 − 5𝑥 + 3𝑦 = 3 (6) 2 Determine integers 𝑎 and 𝑏 so that (3 − √2) 2 = 𝑎 + 𝑏 √2 . (3) 3 Anne and Zandi decide to paint a room. Anne paints (4 + 2𝑥 2 𝑚2 . Zandi starts later and paints 4 𝑚2 . They continue painting the next day and they both paint a further (2𝑥) 𝑚2 . Determine the total area (in 𝑚2 that Anne painted if she painted exactly double the total area that Zandi painted.d (4)