Réponse :
Bonjour,
Explications étape par étape
-x^2 + 3x - 2 = (x - 3/2)^2 + 1/4
-x^2 + 3x - 2 = x^2 - 3x + 9/4 + 1/4
3x + 3x = x^2 + x^2 + 10/4 + 2
6x = 2x^2 + 18/4
2x^2 - 6x + 9/2 = 0
[tex]\Delta = (-6)^{2} - 4 \times 2 \times 9/2 = 36 - 36 = 0[/tex]
1 solution double
X1 = x2 = -b/2a = 6/4 = 3/2
