Question

1)(radical din 2-1)patrat+2radical din 2
2)asolutia ecuatiei 2x-1=-x
b)solutile narurale ale inecuatiei modul de x-1 mai mic ca 2
c)solutia negativa a ecuatiei modul de 2x-1 =3
va rog mult kiss

Answer 1

$1).( \sqrt{2} -1)^2+2 \sqrt{2} = 2-2 \sqrt{2} +1+2 \sqrt{2} =2+1=3 \\ \\ 2).2x-1=-x \Rightarrow2x+x=1 \Rightarrow 3x=1 \Rightarrow x= \frac{1}{3} \\ \\ 3).|x-1|\ \textless \ 2 \\ x-1\ \textless \ 2 \\ x\ \textless \ 2+1 \\ x\ \textless \ 3 \\ x \in [1,3) \\ x=\{1;2\} \\ \\ 4).|2x-1|=3 \\ 2x-1=-3 \\ 2x=-3+1 \\ 2x=-2 \\ x=- \frac{2}{2} \\ x=-1$