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IP2 Class Test (May 2025) Q4

IP2 Class Test (May 2025) Q4

IP 2
8 marks
  1. Simplify and express \(\frac{2x}{2x^2 - x - 3} - \frac{3}{x + 1}\) as a single fraction in the simplest form.
    Hence solve the equation \(\frac{2x}{2x^2 - x - 3} - \frac{3}{x + 1} = 0\).[3]
  2. Simplify and express \(\frac{1}{3 + 5x - 2x^2} - \frac{x + 3}{x - 3}\) as a single fraction in the simplest form.
    Hence solve the equation \(\frac{1}{3 + 5x - 2x^2} - \frac{x + 3}{x - 3} = 0\).[5]

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Answer:\(\frac{-4x+9}{(x+1)(2x-3)}\), \(x = \frac{9}{4}\); \(\frac{2x^2+7x+4}{(2x+1)(3-x)}\), \(x = \frac{-7 \pm \sqrt{17}}{4}\)

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