1) Factoriser 4x*-9 2) En deduire une factorisation de l'expression A= 4x*-9+(2x+3)(x-1) 3) Resoudre l'equation A = 0

4x²-9 = a²-b² = (a-b)(a+b) = (2x-3)(2x+3)

A = (2x+3)(2x-3+x+1)
   = (2x+3)(3x-2)

A = 0
2x+3 = 0
2x = -3
x =-3/2

3x-2 = 0
3x =2
x = 2/3