9514 1404 393
Answer:
- 4
- -2
- 4
- 2
- -2±√2
Step-by-step explanation:
In order to fill the first blank, we need to look at the second line to see what the coefficient of x is.
1. x² + 4 x +2 = 0
The constant is subtracted from both sides to get the second line.
2. x² +4x = -2
The value that is added on the third line is the square of half the x-coefficient: (4/2)² = 4
3. x² +4x + 4 = -2 +4
On the fourth line, the left side is written as a square, and the right side is simplified. The square root is taken of both sides.
4. √(x +2)² = ±√ 2
Finally, 2 is subtracted from both sides to find the values of x.
5. x = -2 ±√2
