Equation: 0 = x2 + 8x + 4?
only problem i cant seem to figure out on the quiz nothing looks right
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 + 8x + 4
Methods:
Completing the Square
Factoring
Quadratic Formula
Graphing
x^2 + 8x + 4 = 0 =====> let’s take as (8/2)^2
(x +
x^2 + 8x + (8/2)^2 – (8/2)^2 + 4 = 0
x^2 + 8x + (42)^2 – (4)^2 + 4 = 0
x^2 + 8x + 16 – 16 + 4 = 0
(x + 4)^2 – 16 + 4 = 0
(x + 4)^2 – 12 = 0 <===== completing the square
(x + 4)^2 = 12
(x + 4) = +/- √(12)
x = - 4 +/- √(4 * 3)
x = - 4 +/- 2√(3)
the reason i chose completing the square is because we can't use factoring.
we can use quadratic formula, but it is longer.
we can use graphing but it is more work.
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