Question

if using the method of completing the square to solve te quadratic equation x squared+4x+3=0, which number would have to be added to complete the square

Answer 1

The quadratic equation is given as,

$x^2+4x+3=0$

Apply the Method of Completing Squares as follows,

$\begin{gathered} (x)^2+2(x)(2)+(2)^2-(2)^2+3=0 \\ (x+2)^2=4-3 \\ (x+2)^2=1 \\ x+2=1\text{ or x+2=-1} \\ x=1-2\text{ or }x=-1-2 \\ x=-1\text{ or }x=-3 \end{gathered}$

Thus, the roots of the given equation are -1 and -3.