Question

(2x-2)*e^x+(x2-2x+1)*e^x = 0 
Решите уравнение

Answer 1

$(2x-2)*e^x+(x^2-2x+1)*e^x=0 \\ e^x-(2x-2+x^2-2x+1)=0 \\ e^x*(x^2-1)=0 \\ e^x\ \textgreater \ 0 \\ \\ x^2-1=0 \\ x^2=1 \\ x_1=-1 \\ x_2=1$