Question

Part 1: Solve the following quadratic equation using one of the methods listed below.
Part 2: Using complete sentences, explain why you chose the method you used.

Equation:
0 = x2 + 6x + 3

Methods:
Completing the Square
Factoring
Quadratic Formula
Graphing

Answer 1

ok, this one looks like an easy one to complete the square for, because the middle term is even and because you cant factor
do you know how to start completeing the square?

Answer 2

all I know if you add 9 to both sides.

Answer 3

Completing the square:

x^2 + 6x = -3
x^2 + 6x + 9 = -3 + 9
(x+3)^2 = 6
x + 3 = +/- sqrt6
x = -3 +/- sqrt6

\[x = -3 \pm \sqrt{6}\]

Answer 4

ok, so if you add nine to both sides, you get
9 = x^2 + 6x +9 + 3
right?
so you can make that
9 = (x+3)^2 +3
does that make sense?

Answer 5

I chose this method because the quadratic is not factorable and is easier to use than the quadratic formula. Completing the square is a quicker way to solve quadratics like this because it doesn't require plugging into a formula like the quadratic formula.

Answer 6

Thank you guys ! (:

Answer 7

sure :)

Answer 8

np :)

Answer 9

Could you guys help with the one I just posted?

Answer 10

I'm not sure what you did after you got (x + 3)^2 = 6

Answer 11

I took the square root of both sides. So then you're left with \[x + 3 = +\sqrt{6}\]

Answer 12

I mean \[x + 3 = \pm \sqrt{6}\]

Answer 13

Okay

Answer 14

Then you subtracted 3 to both sides?

Answer 15

Yepp (:

Answer 16

Okay got it (: