Question

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)

Answer 1

Consider the given expression,

`x^2+10x+24=0`

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.

`\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}`

Thus, the first option is the correct choice.