How do you solve using completing the square method #x^2 - 3x = 18#?
1 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