PLEASE SHOW ALL WORK I'M SO LOST AND NEED TO UNDERSTAND THIS!

1. Part 1: Solve the following equation using one of the methods listed below. Show all work. (4 points)
Part 2: Using complete sentences, explain why you chose the method you used. (2 points)

Equation:
0 = x2 + 6x + 3

Methods:
Completing the Square
Factoring
Quadratic Formula
Graphing

2. Jon’s new mini computer monitor has a 20 cm by 24 cm LCD screen with a plastic trim border. The total area of the monitor and border is 672 cm2. How wide is the trim around the monitor?

Question

PLEASE SHOW ALL WORK I'M SO LOST AND NEED TO UNDERSTAND THIS!


1.  Part 1: Solve the following equation using one of the methods listed below. Show all work. (4 points) 
Part 2: Using complete sentences, explain why you chose the method you used. (2 points) 

Equation: 
0 = x2 + 6x + 3 

Methods: 
Completing the Square 
Factoring 
Quadratic Formula 
Graphing

2.  Jon’s new mini computer monitor has a 20 cm by 24 cm LCD screen with a plastic trim border. The total area of the monitor and border is 672 cm2. How wide is the trim around the monitor?

anonymous · Answer

$0 = x^2 + 6x + 3 $does not factor using integers, but $6$ is even so completing the square easiest

anonymous · Answer

$$ x^2 + 6x + 3=0 $$subtract 3$$x^2+6x=-3$$half of 6 is 3, and 3 squared is 9 so write $$(x+3)^2=-3+9=6$$take the square root, don''t forget the $\pm$ write $$x+3=\pm\sqrt{6}$$solve for $x$ get 
$$x=-3\pm\sqrt{6}$$

anonymous · Answer

What about number 1?