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I) Quadratic Equations and Inequalities

Mathematics

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I) Quadratic Equations and Inequalities

I.1) Résoudre dans R\mathbb{R} l'équation : 2x2−7x+3=02x^2 - 7x + 3 = 0
This is a quadratic equation ax2+bx+c=0ax^2 + bx + c = 0 with a=2a=2, b=−7b=-7, c=3c=3.

  1. Calculate the discriminant Δ\Delta.

    Δ=b2−4ac=(−7)2−4(2)(3)=49−24=25\Delta = b^2 - 4ac = (-7)^2 - 4(2)(3) = 49 - 24 = 25
  2. Since Δ>0\Delta > 0, there are two distinct real

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