Provide an explanation for the answer! if its right ill reward you 50 points

First note that is only defined for when , and that as a consequence.

This means the equation actually has no real solutions, so if algebraically manipulating the equation does yield a real solution, it must necessarily be extraneous. Let's see what happens.

Squaring both sides, we get




Take the (real-valued) fifth root of both sides:




Now solve for .





But as I pointed out earlier, these must be extraneous. Plug them into the equation to check:





This means the answer is A.