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Roots Dilemma

Algebra Level 4

Let \(a,b\) and \(c\) be the three roots of \(x^3-x+1=0\). Find the value of \[\dfrac{1}{a+1}+\dfrac{1}{b+1}+\dfrac{1}{c+1}.\ \]

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Excel in math and science

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including olympiad champions, researchers, and professionals.

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by Danish Ahmed

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