# How do you solve using completing the square method #x^2 - 3x = 18#?

##### 1 Answer

#### Answer:

#### Explanation:

Note: The goal of completing the square is to create a perfect trinomial in the form of

**Given:**

**Step 1:** The leading coefficient is 1, we can proceed to the next step of completing the square

**Step 2:** The third term is ,

**Step 3:** Rewrite as a perfect trinomial on the left and simplify the right side of the equation

#(x-3/2)^2= 72/4 +9/4#

#(x-3/2)^2 = 81/4 #

**Step 4:** Solve the equation by taking the square root of both side

remember

#x-3/2 = +-9/2 #

**Step 5:** Then solve for

#x = -9/2 + 3/2# # " " or " # #x= 9/2 +3/2#

So

or