Solve 5x + 1 = 2x2 + 9x. Which are steps in the process of completing the square used to solve the equation? ANSWER CHOICES1 = 2(x2 + 2x) 1 = 2x2 + 4x2 = 2(x2 + 2x + 1)3 = 2(x + 1)22 = 2(x + 1)2

The first thing we will do for this case is to solve the equation by completing squares.
 We have then:
 [tex]5x + 1 = 2x ^ 2 + 9x [/tex]
 Pass the variables for one side of the equation:
 [tex]1 = 2x ^ 2 + 9x - 5x 1 = 2x ^ 2 + 4x[/tex]
 Common factor 2:
 [tex]1 = 2 (x ^ 2 + 2x) [/tex]
 Clear the right side:
 [tex]1/2 = (x ^ 2 + 2x) [/tex]
 Complete squares:
 [tex]1/2 + (2/2) ^ 2 = (x ^ 2 + 2x) + (2/2) ^ 2 1/2 + (1) ^ 2 = (x ^ 2 + 2x) + (1) ^ 2 1/2 + 1 = (x ^ 2 + 2x) + 1[/tex]
 [tex]3/2 = x ^ 2 + 2x + 1 3/2 = (x + 1) ^ 2 3 = 2 (x + 1) ^ 2[/tex]
 Answer:
 Therefore, the steps are:
 [tex]1 = 2 (x ^ 2 + 2x) 2 = 2 (x ^ 2 + 2x + 1) 3 = 2 (x + 1) ^ 2[/tex]