Answer: OPTION C
Explanation:
Complete the square:
Having the equation in the form
, you need to add
to both sides of the equation:
You can identify that "b" in the equation
is:
![b=6](https://img.qammunity.org/2020/formulas/mathematics/middle-school/90ir9ziaeybnuzc722z4bpne41739m4wor.png)
Then:
![((6)/(2))^2=3^2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/r2i6hjmy5313p7xotlsa2ko6u6grpptquf.png)
Add this to both sides:
Rewriting, you get:
Solve for "x":
![x+3=\±√(14)\\\\x+3=\±√(14)\\\\x=\±√(14)-3](https://img.qammunity.org/2020/formulas/mathematics/middle-school/n8rg7l5xhmpf2ltfhhvln6femax9zuiwjk.png)
Then, the solutions are:
![x=-3+√(14)\ or\ x=-3-√(14)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/t2blm0w8bgujijbhi32568owhl2o27eo0w.png)