Question

(x^2 +3 x +1) (x^2+3x+3) = -1​

Answer 1

Ответ:

$(x^2+3x+1)(x^2+3x+3)=-1\\\\t=x^2+3x+1\ \ \to \ \ \ t(t+2)=-1\ \ ,\ \ \ t^2+2t+1=0\ \ ,\\\\(t+1)^2=0\ \ \ \to \ \ \ \ t+1=0\ \ ,\ \ \ t=-1\ \ ,\\\\x^2+3x+1=-1\ \ ,\ \ \ x^2+3x+2=0\ \ ,\ \ x_1=-2\ ,\ x_2=-1\ \ (teorema\ Vieta)\\\\Otv et:\ \ x_1=-2\ ,\ x_2=-1\ .$