2025 CCHY PRELIMS P2 Q1

2025 CCHY PRELIMS P2 Q1

Secondary 4
11 marks
  1. Solve the equation \(x^2+5x-32=0\) by completing the square. Give your solutions correct to 2 decimal places.[3]
  2. Write as a single fraction in its simplest form \(\dfrac{2x}{x^2-4}+\dfrac5{2-x}\).[3]
  3. Solve the inequalities \(x+5\leq3+2x<21-x\).[3]
  4. Simplify \(\left(\dfrac{256x^{12}}{y^8}\right)^{-\frac34}\).[2]

Solution:

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Answer:(a) \(-8.68,3.68\) (b) \(\frac{-3x-10}{(x+2)(x-2)}\) (c) \(2\leq x<6\) (d) \(\frac{y^6}{64x^9}\)

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