Answer:
A) x=5 or -11
Explanation:
The given equation is:
![(x+3)^2=64](https://img.qammunity.org/2020/formulas/mathematics/middle-school/tounbmyy2oeh978x93vseroaznppp7voun.png)
The most suitable method so solve this quadratic equation is the square root method.
We take square root of both sides to obtain:
![x+3=\pm √(64)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ew09qncbpy6sf5znba8ra559rk957ja1gv.png)
![\implies x+3=\pm8](https://img.qammunity.org/2020/formulas/mathematics/middle-school/d3z1t9h637qowe7jwomdlbgzappaq77mzt.png)
![\implies x=-3\pm8](https://img.qammunity.org/2020/formulas/mathematics/middle-school/rfgoxk09efn04b8hk2bhdvdxf2j605pbd1.png)
We now split the plus or minus sign to get;
![x=-3-8\:,x=-3+8](https://img.qammunity.org/2020/formulas/mathematics/middle-school/eyb21lianrcabifqa92kzj41pe20rrif4c.png)
This simplifies to:
![x=-11\:,x=5](https://img.qammunity.org/2020/formulas/mathematics/middle-school/3vin293tr1v0qqq66rk5bkzycpqj5138oq.png)
The correct choice is A