Question

Complete the squar3

1.x² + __x+2=0
2.x²+4x=____
3.x²+4x+___= -2+4
4.√x+2)² = √____
5.x = ___​

Answer 1

9514 1404 393

Answer:

1. 4
2. -2
3. 4
4. 2
5. -2±√2

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