How do you solve #x^2+4x=5# by completing the square?
To write the Left Hand Side as a Perfect Square, we add 4 to both sides
Using the Identity
The solutions are
Adjust the left side so that it becomes a perfect square.
Completing the square only works when you don't have a coefficient in front of
The next step is to look at the coefficient of
Remember: whatever you add to one side, you need to add to the other.
So the solution set is is