Lg(x^2)+lg((x+10)^2)=2lg(11)

Question

Lg(x^2)+lg((x+10)^2)=2lg(11)

Answer 1

ОДЗ
x≠0
x≠-10

lg[x²*(x+10)²]=lg11²
[x(x+10)]²=11²
x(x+10)-11=0
x²+10x-11=0
x1+x2=-10 U x1*x2=-11
x1=-11 U x2=1