Question

Daca xla2-4x+3=(x+a)(x+b), atunci a+b=?

Answer 1

   
[tex] x^2 -4x+3 = x^2 -x-3x+3 = x(x-1) -3(x-1) = \boxed{(x-1)(x-3)} \\ \Longrightarrow ~~ a= -1 ~~si~~b=-3 \\ a+b = -1-3 = \boxed{-4} \\ \\ Nota: \\ \text{Solutiile ecuatiei sunt:} ~~\boxed{x_1= 1 ~~si~~x_2 = 3} [/tex]