Express $\frac{-6x + 11}{(x^2 - 2)(x - 1)}$ in partial fractions.[4] Hence, solve the equation \(\

Question

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]

Accepted Answer

(a) $-\dfrac5{x-1}+\dfrac{5x-1}{x^2-2}$ (b) $x=2$ or $x=-\dfrac89$

2023 CSS AM S3 EOY Q8

2023 CSS AM S3 EOY Q8

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