Question

what is the solution to the following equation x^2+2x+7=0

Answer 1

there are a few ways to approach a solution, which ones have you tried?

Answer 2

completing the square is the least "upsetting" to me

Answer 3

"x^2 +2x +1 " is a complete square since it compresses to (x+1)^2

so lets borrow what we need from that 7 to make this:

x^2 + 2x +1 + 6 = 0

(x+1)^2 + 6 = 0

and algebra it into submission