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

Answer 1

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.