2025 MSHS PRELIMS P1 Q22

2025 MSHS PRELIMS P1 Q22

Secondary 4
5 marks
  1. Solve the equation \(x^2-\dfrac34x-5=0\) by completing the square. Give your solutions correct to 2 decimal places.[3]
  2. Hence, sketch the graph of \(y=x^2-\dfrac34x-5\), indicating all intercepts and turning point(s) clearly.[2]

Solution:

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Answer:(a) \(x=2.64\) or \(-1.89\) (b) intercepts \((-1.89,0),(2.64,0),(0,-5)\); minimum \((\frac38,-\frac{329}{64})\)

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