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

Respuesta :

Answer: Option C ([tex]x=-2[/tex]±[tex]\sqrt{3}[/tex])


Step-by-step explanation:

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

[tex]x=\frac{-b+/-\sqrt{b^{2}-4ac}}{2a}[/tex]

2. Substitute values. Then, you have:

[tex]a=1\\b=4\\c=1[/tex]

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

3. Then,you obtain the following result:

[tex]x=-2[/tex]±[tex]\sqrt{3}[/tex]