12. Find the correct solution to: x² - 6x + 8 = 0
 

 Solution: 

     Factor   x² - 6x + 8 = 0           (Check Test # 3 Question 8)
                  x² - 6x + 8 = (x - 4)(x - 2)

                 (x - 4)(x - 2) = 0
               x - 4 = 0   and   x - 2 = 0
                   x = 4    and    x = 2

     Checking the solution x = 4
                      (4)² - 6(4) + 8 = 0 
                       16 - 24 + 8 = 0
                            -8 + 8 = 0
                               0 = 0   then  x = 4 is a solution
     Checking the solution x = 2
                      (2)² - 6(2) + 8 = 0 
                       4 - 12 + 8 = 0
                            -8 + 8 = 0
                               0 = 0   then  x = 2 is a solution