2. (09.02 MC)Which of the following tables shows the correct steps to transform x2 + 10x + 24 = 0 into the form (X - p)2 = q?[p and q are integers] (5 points)
![2. (09.02 MC)Which of the following tables shows the correct steps to transform x2 + 10x + 24 = 0 into the form (X - p)2 = q?[p and q are integers] (5 points) class=](https://us-static.z-dn.net/files/d10/4631296fcf99302ce330ac5403bf0342.png)
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.