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ghbdtv
@ghbdtv
July 2022
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Одно уравнение X^4-2x^2-8=0
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kirichekov
Verified answer
X⁴-2x²-8=0 биквадратное уравнение. замена переменных
x²=t, t>0
t²-2t-8=0
D=(-2)²-4*1*(-8)=36
t₁,₂=(2+-6)/2
t₁=-2, t₂=4
t=-2, -2<0 посторонний корень
t=4, x²=4
x=+-2
x₁=-2, x₂=2
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Answers & Comments
Verified answer
X⁴-2x²-8=0 биквадратное уравнение. замена переменныхx²=t, t>0
t²-2t-8=0
D=(-2)²-4*1*(-8)=36
t₁,₂=(2+-6)/2
t₁=-2, t₂=4
t=-2, -2<0 посторонний корень
t=4, x²=4
x=+-2
x₁=-2, x₂=2