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viktoria383
@viktoria383
August 2022
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решите уравнение
x^2+(1/x^2-4)=4+(1/x^2-4)
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sangers1959
Verified answer
X²+1/(x²-4)=4+1/(x²-4)
ОДЗ: x²-4≠0 (x-2)(x+2)≠0 x₁≠2 x₂≠-2 ⇒x∈(-∞;-2)U(-2;2)U(2;+∞).
x²=4
x²-4=0
(x-2)(x+2)=0
x₁=2∉ОДЗ x₂=-2∉ОДЗ ⇒
Ответ: уравнение решения не имеет.
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Answers & Comments
Verified answer
X²+1/(x²-4)=4+1/(x²-4)ОДЗ: x²-4≠0 (x-2)(x+2)≠0 x₁≠2 x₂≠-2 ⇒x∈(-∞;-2)U(-2;2)U(2;+∞).
x²=4
x²-4=0
(x-2)(x+2)=0
x₁=2∉ОДЗ x₂=-2∉ОДЗ ⇒
Ответ: уравнение решения не имеет.