Question

$sqrt{x-1} + sqrt{x+3} =2$

Answer 1

Вот все решение на фото

Answer 2

$sqrt{x-1}+ sqrt{x+3}=2 \ x-1 geq 0 Rightarrow x geq 1 \ x+3 geq 0 Rightarrow x geq -3 \ xin[1;+infty) \ sqrt{x+3}=2- sqrt{x-1} Rightarrow x+3=4-4 sqrt{x-1}+x-1 \ 4 sqrt{x-1}=0 Rightarrow x-1=0 Rightarrow x=1 in [1;+infty) \ x=1$