Don't think of Vieta's theorem

Algebra Level 4

Let \(a,b,c,d\) and \(e\) be the roots of the equation \(x^5 - 4x^2 + x - 13 = 0 \). Find the value of \( \dfrac1{2-a} +\dfrac1{2-b} +\dfrac1{2-c} +\dfrac1{2-d} +\dfrac1{2-e} \).

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