Bună!
✍(◔◡◔)
[tex]a) |2x+6|=\sqrt{8} => |2x+6|=2\sqrt{2} =>[/tex]
[tex]=> 2x+6=2\sqrt{2} => 2x=2\sqrt{2} -6 /:2 => x_{1} =\sqrt{2} -3[/tex]
[tex]=> 2x+6=-2\sqrt{2} => 2x=-2\sqrt{2} -6/:2 => x_{2} =-\sqrt{2} -3[/tex]
[tex]b) |3x-6|=\sqrt{27} => |3x-6|=3\sqrt{3} =>[/tex]
[tex]=> 3x-6=3\sqrt{3} => 3x=3\sqrt{3} +6/:3 => x_{1} =\sqrt{3} +2[/tex]
[tex]=> 3x-6=-3\sqrt{3} => 3x=-3\sqrt{3} +6/:3 => x_{2} =-\sqrt{3} +2[/tex]
[tex]c) |x+\sqrt{2} |=-3\sqrt{2} =>[/tex] x ∈ ∅
→ Modulul este întotdeauna pozitiv (≥0), iar -3√2 <0 => x ∈ ∅
