Question

Complete the squar3

Answer 1

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Answer:

1. 4
2. -2
3. 4
4. 2
5. -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