Question

solve by completing the square: x2+x+1=0

Answer 1

(x+2)(x-1) will make "x" in the middle.

We'll have (x^2+2x-x-2) which will mean we need to add a 2 on this side as well.

(x^2+2x-x-2) +1 +2 = 0

or:

(x+2)(x-1) +3 = 0

Answer 2

The last thing you want to do in any of these problems is to solve it and make sure you come up with your original equation.