Question

What number would you add to both sides of x2 + 7x = 4 to complete the square?2²0 72이를즐이

Answer 1

To complete the square, we want a number such that:

`\begin{gathered} 2√(a)=7 \\ a=((7)/(2))^2 \end{gathered}`

because in this way we can writte the square as follows:

`\begin{gathered} x^2+7x+((7)/(2))^2=4+((7)/(2))^2 \\ (x+(7)/(2))^2=4+((7)/(2))^2 \end{gathered}`

Hence the answer is the last option:

`((7)/(2))^2`