Answer:
- [tex]\frac{1}{2}[/tex], 0
Step-by-step explanation:
8x⁴ + x = 0
factor out x:
x(8x³ + 1) = 0
The zero product property says that one of the terms needs to be equal to 0:
x = 0
8x³ + 1 = 0
Solve for x in the 2nd equation:
8x³ = -1
x³ = - [tex]\frac{1}{8}[/tex]
x = - [tex]\frac{1}{2}[/tex]
When x is either 0 or - [tex]\frac{1}{2}[/tex], the product will be equal to zero.
The roots are 0 and - [tex]\frac{1}{2}[/tex]
