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Gelneren [198K]
3 years ago
9

Show your work

Mathematics
1 answer:
zmey [24]3 years ago
8 0

Answer:

1, 2, and ±i√8

Step-by-step explanation:

0 = x⁴ − 3x³ + 10x² − 24x + 16

Using grouping:

0 = x⁴ − 3x³ + 2x² + 8x² − 24x + 16

0 = x² (x² − 3x + 2) + 8 (x² − 3x + 2)

0 = (x² + 8) (x² − 3x + 2)

0 = (x² + 8) (x − 1) (x − 2)

The roots are 1, 2, and ±i√8.

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