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

lascieflYr

lascieflYr

Answered question

2022-12-04

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

Answer & Explanation

moralizoL31

moralizoL31

Beginner2022-12-05Added 9 answers

The first thing we will do for this case is to solve the equation by completing squares.
We have then:
5 x + 1 = 2 x 2 + 9 x
Pass the variables for one side of the equation:
1 = 2 x 2 + 9 x 5 x = 2 x 2 + 4 x
Common factor 2:
1 = 2 ( x 2 + 2 x )
Clear the right side:
1 2 = ( x 2 + 2 x )
Complete squares:
1 2 + ( 2 2 ) 2 = ( x 2 + 2 x ) + ( 2 2 ) 2 1 2 + 1 2 = ( x 2 + 2 x ) + 1 2 1 2 + 1 = ( x 2 + 2 x ) + 1 3 2 = x 2 = 2 x + 13 2 = ( x + 1 ) 2 3 = 2 ( x + 1 ) 2
Answer:
Therefore, the steps are:
1 = 2 ( x 2 + 2 x ) 2 = 2 ( x 2 + 2 x + 1 ) 3 = 2 ( x + 1 ) 2

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