Munoz Gordon
10/06/2023 · Elementary School
2- on donne le système ( S ): \( \left\{\begin{array}{l}x^{3}+y^{3}=19 \\ x+y=1\end{array}\right. \) a) Justifier que ie système ( S ) est equivalent à l'equation (E) \( x^{2}-x-6=0 \) (On pourn se servir de la question 1 ). 2-En deduire les couples ( \( x ; y \) ) vérifiant: \( \left\{\begin{array}{l}x^{3}+y^{3}=19 \\ x+y=1\end{array}\right. \)
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Le système \( S \) est équivalent à l'équation \( x^2 - x - 6 = 0 \). Les couples \( (x, y) \) vérifiant le système sont \( (3, -2) \) et \( (-2, 3) \).
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