2023 CSS AM S3 EOY Q8
2023 CSS AM S3 EOY Q8
Secondary 3
7 marks
- Express \(\frac{-6x + 11}{(x^2 - 2)(x - 1)}\) in partial fractions.[4]
- Hence, solve the equation \(\frac{-12x + 22}{(x^2 - 2)(x - 1)} + \frac{10}{x - 1} = 9\).[3]
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Answer:(a) \(-\dfrac5{x-1}+\dfrac{10-\sqrt2}{4(x-\sqrt2)}+\dfrac{10+\sqrt2}{4(x+\sqrt2)}\). (b) \(x=2\) or \(x=-\dfrac89\).
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