Final answer:
The polynomial equation x⁶+8x⁴-4x+10=0 has a total of 6 roots.
Step-by-step explanation:
The given equation is a polynomial equation of degree 6. To determine the number of roots, we need to consider the Fundamental Theorem of Algebra. According to the theorem, any polynomial equation of degree 'n' has exactly 'n' roots, including both real and complex roots.
Therefore, the polynomial equation x⁶+8x⁴-4x+10=0 has a total of 6 roots, which may be real or complex.