The quadratic equation is given as,
[tex]x^2+4x+3=0[/tex]Apply the Method of Completing Squares as follows,
[tex]\begin{gathered} (x)^2+2(x)(2)+(2)^2-(2)^2+3=0 \\ (x+2)^2=4-3 \\ (x+2)^2=1 \\ x+2=1\text{ or x+2=-1} \\ x=1-2\text{ or }x=-1-2 \\ x=-1\text{ or }x=-3 \end{gathered}[/tex]Thus, the roots of the given equation are -1 and -3.
