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ANTONII [103]
3 years ago
14

X^4-3x^2+2=0 Đặt ẩn t

Mathematics
1 answer:
AfilCa [17]3 years ago
8 0

Answer:

x_{1} =  -  \sqrt{2}  \:  .\:  x_{2} =  - 1 \: . \:  x_{3} = 1 \: . \:  x_{4} =  \sqrt{2}

Step-by-step explanation:

x⁴ - 3x² + 2 = 0

x^2×2 - 3x² + 2 = 0

(x²)² - 3x² + 2 = 0

t² - 3t + 2 = 0

t = 1, t = 2

x² = 1, x² = 2

x = -1, x = 1

x = - square root 2, x = square root 2

x_{1} =  -  \sqrt{2}  \:  .\:  x_{2} =  - 1 \: . \:  x_{3} = 1 \: . \:  x_{4} =  \sqrt{2}

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