Answer :

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.

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