Find the term that must be added to both sides of the equation so that the equation can be solved by the method of completing the square. y² + 18y = 12
The term that must be added to both sides of the equation is 81.
By adding 81 to both sides, the equation becomes:
y² + 18y + 81 = 93
Now, the left side of the equation can be factored into (y + 9)², allowing it to be solved by completing the square.