Answer :
The given equation is
[tex]\mleft(x+3\mright)^2-3=0[/tex]Simplify the equation by adding 3 to both sides of the equation
[tex]\mleft(x+3\mright)^2-3+3=3[/tex]This is simplified to give
[tex]\mleft(x+3\mright)^2=3[/tex]This can be further simplified as follows
[tex]\begin{gathered} x+3=\pm\sqrt[]{3} \\ x=\pm\sqrt[]{3}-3 \end{gathered}[/tex]Hence, the solution is
[tex]\begin{gathered} x=-\sqrt[]{3}-3,x=\sqrt[]{3}-3 \\ \Rightarrow x=-1.73-3,x=1.73-3 \\ x=-4.73,x=1.27 \end{gathered}[/tex]Therefore, the solution is
Lesser x = - 4.73
Greater x = 1.27