Consider the given expression,
[tex]x^2+10x+24=0[/tex]
It is required to convert the left side of the equation into perfect square of some expression. This can be done using the Method of Completing squares.
[tex]\begin{gathered} (x)^2+2(x)(5)+25-1=0 \\ (x)^2+2(x)(5)+(5)^2=0+1 \\ (x+5)^2=1 \end{gathered}[/tex]
Thus, the first option is the correct choice.
