Question

sqrt(x^2-2*x+1)+sqrt(x^2+2*x+1)=2

Answer 1

$sqrt{ x^{2} -2*x+1} + sqrt{ x^{2} +2*x+1} =2 \ sqrt{(x-1)^2} + sqrt{(x+1)^2} =2 \ x-1+x+1=2 \ \ 2*x=2 \ x=1$