Question 188
Show that for every real number $a$ the equation
$$
8 x^{4}-16 x^{3}+16 x^{2}-8 x+a=0
$$
has at least one non-real root and find the sum of all the non-real roots of the equation.
$$
8 x^{4}-16 x^{3}+16 x^{2}-8 x+a=0
$$
has at least one non-real root and find the sum of all the non-real roots of the equation.