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]