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Résoudre dans R les équations : x2 − 16 = 0 et 2x2 + 5x − 3 = 0.

Mathematics

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Exercice 1 (6pts)

1. Résoudre dans R\mathbb{R} l'équation : x2−16=0x^2 - 16 = 0

  1. Isoler x2x^2.

    x2=16x^2 = 16
  2. Prendre la racine carrée des deux côtés.

    x=±16x = \pm \sqrt{16} x=±4x = \pm 4

    L'ensemble des solutions est {−4,4}\{-4, 4\}.
    S={−4,4}\boxed{S = \{-4, 4\}}

    **2. a. Résoudre dans R\mathbb{R} l'équation : $2x^2 + 5x -

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