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toryly
@toryly
August 2022
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чему равно выражение x^4+1/x^4, если известно, что x-1/x=3
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IrkaShevko
Verified answer
(x - 1/x)² = 9
x² + 1/x² - 2 = 9
x² + 1/x² = 11
(x² + 1/x²)² = 121
x⁴ + 1/x⁴ + 2 = 121
x⁴ + 1/x⁴ = 119
Ответ: 119
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toryly
спасибо)
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Answers & Comments
Verified answer
(x - 1/x)² = 9x² + 1/x² - 2 = 9
x² + 1/x² = 11
(x² + 1/x²)² = 121
x⁴ + 1/x⁴ + 2 = 121
x⁴ + 1/x⁴ = 119
Ответ: 119