Question

Solve x2 + 4x + 1 = 0.

A) x equals the quantity of 4 plus or minus square root 12 all over 2
B) x equals negative 4 plus or minus square root 3
C) x equals negative 2 plus or minus square root 3
D) x equals the quantity of 4 plus or minus square root 13 all over 2

Answer 1

c

Explanation:

C) x equals negative 2 plus or minus square root 3

Answer 2

Answer: Option C (
`x=-2`±
`√(3)`)

Explanation:

1. To solve this problem you must use the Quadratic formula, which is used to solve quadratic equation. This formula is shown below:

`x=\frac{-b+/-\sqrt{b^(2)-4ac}}{2a}`

2. Substitute values. Then, you have:

`a=1\\b=4\\c=1`

`x=\frac{-4+/-\sqrt{4^(2)-4(1)(1)}}{2(1)}`

3. Then,you obtain the following result:

`x=-2`±
`√(3)`