Hello there. To solve this question, we'll have to remember some properties about completing the square.
Given the equation:
To complete the square, we have to add a term on both sides of the equation in order to find a "perfect trinomial", that is the expanded version of a binomial (a + b)².
Knowing that (a + b)² = a² + 2ab + b², we start looking at the middle term and dividing its coefficient by 2: the middle term is 18x, the coefficient is 18.
Dividing it by 2, we get:
Now we add this value, squared, on both sides of the equation:
In this case, we get that:
Subtract 81 on both sides of the equation
This is the answer we're looking for.