Question 3
Find the sum of the roots, real and non-real, of the equation $$
x^{2001} + \left(\tfrac{1}{2} - x\right)^{2001} = 0,
$$ given that there are no multiple roots.
x^{2001} + \left(\tfrac{1}{2} - x\right)^{2001} = 0,
$$ given that there are no multiple roots.