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Nimfa-mama [501]
2 years ago
10

Find all roots (zeros) please show work!!

Mathematics
1 answer:
mamaluj [8]2 years ago
6 0

Answer:

- \frac{1}{2}, 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 = - \frac{1}{8}

x = - \frac{1}{2}

When x is either 0 or - \frac{1}{2}, the product will be equal to zero.

The roots are 0 and - \frac{1}{2}

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