How do you solve the equation #x^2+2x+6=0# by completing the square?
There are no Real solutions to this equation
but see below for method of completing the square
and for Complex value solutions.
Remember that a squared binomial takes the form
and the third term must be
and the complete (expanded) square needs to be
Rewriting the given equation:
to include this complete (expanded) square:
We could note at this point that since any Real number squared is greater than or equal to
If you have advanced to Complex numbers: