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Solve the equation |x^2 -1|+ |x^2 - 4| = mx

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September 28, 2010
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Problem Statement

Solve the equation ∣x2−1∣+∣x2−4∣=mx|x^2 -1|+ |x^2 - 4| = mx as a function of the parameter mm. Which pairs (x,m)(x,m) of integers satisfy this equation?
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