2026 CCHMS P2 Q1

2026 CCHMS P2 Q1

Secondary 4
9 marks
  1. It is given that \(y=\dfrac6a-\dfrac ax\).
    1. Express \(x\) in terms of \(a\) and \(y\).[2]
    2. Given that \(x:y:a=1:2:3\), find the value of \(y\).[3]
  2. Solve the equation \(x^2+10x-7=0\) by completing the square.
    Give your solutions correct to 1 decimal place.[4]

Solution:

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Answer:(a)(i) \(x=\dfrac{a^2}{6-ay}\) (ii) \(y=1\) for positive ratio quantities; \(y=-4\) also satisfies unrestricted proportionality. (b) \(-10.7\) or \(0.7\).

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