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, 2002

Algebra Difficulty 2.0 Junior Prove it Canada

The rational expression $\dfrac{2x^2+1}{x^2-3}$ may be written as $2 + \dfrac{A}{x^2-3}$ , where $A$ is an integer. What is the value of $A$ ?

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.