2026 YTSS P2 Q1

2026 YTSS P2 Q1

Secondary 4
12 marks
  1. Solve the equation \(\dfrac{x+7}{x^2-9}=-2+\dfrac1{3-x}\).
    Give your solutions correct to 2 decimal places.[5]
  2. Solve the inequalities \(\dfrac23+y\leq9+\dfrac49y<4+y\).[3]
  3. Given that \(\dfrac12b=\sqrt{\dfrac{4-z}{z}+3}\),
    1. find \(b\) when \(z=2\),[1]
    2. rearrange the formula to make \(z\) the subject.[3]

Solution:

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Answer:(a) \(x=1.56,-2.56\). (b) \(9<y\leq15\). (c)(i) \(b=4\) (ii) \(z=16/(b^2-8)\), with \(b\geq0,b^2\ne8\).

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