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Khaniya
@Khaniya
August 2022
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Решите пожалуйста)
X^4+6x^2-4=0
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Answers & Comments
maleevvladislav
X4 + 6x²
- 4 = 0
замена
y = x²
y² + 6y
- 4 = 0
D = b2 - 4ac = 62
- 4·1·(-4) = 36 + 16 = 52
y1 = -6 - √52
-------------
≈ -6.6056
2·1
y2 = -6 + √52
------------- ≈ 0.60555
2·1
x
²
=
-6 - √52
------------
2
x
²
=
-6 + √52
-------------
2
x1 = (-6 + √52)1/2 ≈ 0.77817
---------------
2
x2 =
-(
-6 + √52
)1/2
≈ -0.77817
--------------------
2
3 votes
Thanks 1
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Answers & Comments
замена y = x²
y² + 6y - 4 = 0
D = b2 - 4ac = 62 - 4·1·(-4) = 36 + 16 = 52
y1 = -6 - √52
------------- ≈ -6.6056
2·1
y2 = -6 + √52
------------- ≈ 0.60555
2·1
x² = -6 - √52
------------
2
x² = -6 + √52
-------------
2
x1 = (-6 + √52)1/2 ≈ 0.77817
---------------
2
x2 = -(-6 + √52)1/2 ≈ -0.77817
--------------------
2