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Soient \(x_1,\dots,x_8\) les racines de \(X^8 + X^7 - X^2 + 3\). Calculer \(\sum_{1\le i\le8 , 1\le j<k \le8} \frac {x_i}{x_jx_k}\).
Soient \(x_1,\dots,x_8\) les racines de \(X^8 + X^7 - X^2 + 3\). Calculer \(\sum_{1\le i\le8 , 1\le j<k \le8} \frac {x_i}{x_jx_k}\).