Question

find the term that needs to be added to the equation x^2-2=1 to make a perfect square

Answer 1

To take the given equation to the form (x+b)^2 we do the following:

$\begin{gathered} x^2-2x+1=1+1 \\ (x-1)^2=2 \end{gathered}$

Therefore, the term that needs to be added is +1.