christinamonte122
17.09.2019 •
Mathematics
How many rational roots does x4 + 3x2 + 2 = 0 have?
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Ответ:
x⁴ + 2x² + x² + 2 = 0
x²(x² + 2) + (x² + 2) = 0
(x² + 2)*(x² + 1) = 0
x² + 2 = 0
x² = -2 ⇒ no rational roots
or
x² + 1 = 0
x² = -1 ⇒ no rational roots
The equation has no rational roots
Ответ:
no
Step-by-step explanation:no