Solve 5x + 1 = 2x2 + 9x. which are steps in the process of completing the square used to solve the equation? answer choices 1 = 2(x2 + 2x) 1 = 2x2 + 4x 2 = 2(x2 + 2x + 1) 3 = 2(x + 1)2 2 = 2(x + 1)2

Choices (1), (2) and (4)

Step-by-step explanation:

5x + 1 = 2x² + 9x

By subtracting 5x form both the sides of the equation.

(5x + 1) - 5x = 2x² + 9x - 5x

1 = 2x² + 4x

1 = 2(x² + 2x)

By adding 2 on both the sides

1 + 2 = 2(x² + 2x) + 2

1 + 2 = 2(x² + 2x + 1)

3 = 2(x² + 2x + 1)

3 = 2(x + 1)²

Therefore, choices (1), (2) and (4) are the steps that have been used to complete the square.

The first thing we will do for this case is to solve the equation by completing squares.
 We have then:
 
 Pass the variables for one side of the equation:
 
 Common factor 2:
 
 Clear the right side:
 
 Complete squares:
 
 
 
 Therefore, the steps are:
 

9(x + -11) = 9

Step-by-step explanation:

Simplifying

9(x + -11) = 9

Reorder the terms:

9(-11 + x) = 9

(-11 * 9 + x * 9) = 9

(-99 + 9x) = 9

Solving

-99 + 9x = 9

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '99' to each side of the equation.

-99 + 99 + 9x = 9 + 99

Combine like terms: -99 + 99 = 0

0 + 9x = 9 + 99

9x = 9 + 99

Combine like terms: 9 + 99 = 108

9x = 108

Divide each side by '9'.

x = 12

Simplifying

x = 12