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vadim1243
@vadim1243
August 2022
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[tex]x^4-2x^2-8x-3=0[/tex]
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NeZeRAvix
Verified answer
X^4-2x^2-8x-3=0
(x^2-2x-1)(x^2+2x+3)=0
x^2-2x-1=0
D=4+4=8=(√8)^2=(2√2)^2
x1=(2-2√2)/2=1-
√2
x2=(2+2
√2)/2=1+
√2
x^2+2x+3=0
D=4-12=-8<0
нет корней
Ответ: 1-
√2, 1+
√2
1 votes
Thanks 1
vadim1243
Как ты разложил на множители
vadim1243
я такое решение уже видел
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Answers & Comments
Verified answer
X^4-2x^2-8x-3=0(x^2-2x-1)(x^2+2x+3)=0
x^2-2x-1=0
D=4+4=8=(√8)^2=(2√2)^2
x1=(2-2√2)/2=1-√2
x2=(2+2√2)/2=1+√2
x^2+2x+3=0
D=4-12=-8<0
нет корней
Ответ: 1-√2, 1+√2