Réponse :
Bonsoir
Explications étape par étape
5x^2 + 36x - 32 = 0
[tex]\Delta = (36)^{2} - 4 \times 5 \times (-32) = 1296 + 640 = 1936[/tex]
[tex]\sqrt\Delta = 44[/tex]
X1 = (-36 - 44)/(2 * 5) = -80/10 = -8
X2 = (-36 + 44)/10 = 8/10 = 4/5
=> (x + 8)(x - 4/5) = (x + 8)(5x - 4)
-x^2 - 5x + 24 = 0
[tex]\Delta = (-5)^{2} - 4 \times (-1) \times 24 = 25 + 96 = 121[/tex]
[tex]\sqrt\Delta = 11[/tex]
X1 = (5 - 11)/(2 * -1) = -6/-2 = 3
X2 = (5 + 11)/(-2) = -16/2 = -8
=> (3 - x)(x + 8)
