Answer:
A) x=5 or -11
Step-by-step explanation:
The given equation is:
[tex](x+3)^2=64[/tex]
The most suitable method so solve this quadratic equation is the square root method.
We take square root of both sides to obtain:
[tex]x+3=\pm \sqrt{64}[/tex]
[tex]\implies x+3=\pm8[/tex]
[tex]\implies x=-3\pm8[/tex]
We now split the plus or minus sign to get;
[tex]x=-3-8\:,x=-3+8[/tex]
This simplifies to:
[tex]x=-11\:,x=5[/tex]
The correct choice is A
