Question

Modulul lui x+2 radical din trei=4 radical din trei
Va rog pe lung

Answer 1

|x+2√3|=4√3

x+2√3=4√3

x=4√3-2√3=2√3

x+2√3=-4√3

x=-4√3-2√3=-6√3

S={-6√3;2√3}

Answer 2

$\it |x+2\sqrt3|=4\sqrt3 \Rightarrow x+2\sqrt3=\pm4\sqrt3 \Rightarrow x+2\sqrt3 \in\{-4\sqrt3,\ 4\sqrt3\}|_{-2\sqrt3} \Rightarrow \\\\ \Rightarrow x\in \{-6\sqrt3,\ 2\sqrt3 \}$