To be complete, since you squared both sides (twice, actually), you introduced the possibility of introducing extraneous roots, so you should actually check your solutions back in the original equation to confirm they are indeed solutions. Also, 8i and -8i each have two complex square roots, but only one specific square root of each (the principal square root) can be combined to the desired sum.
Just with respect: To fly from London to Paris, you flayed first to Tokyo and then to Paris. There is a quick, couple of steps solution. Also, this is not hard problem, and even not Olympiad problem. Thabk you.
To be complete, since you squared both sides (twice, actually), you introduced the possibility of introducing extraneous roots, so you should actually check your solutions back in the original equation to confirm they are indeed solutions. Also, 8i and -8i each have two complex square roots, but only one specific square root of each (the principal square root) can be combined to the desired sum.
Just with respect: To fly from London to Paris, you flayed first to Tokyo and then to Paris.
There is a quick, couple of steps solution.
Also, this is not hard problem, and even not Olympiad problem.
Thabk you.