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explosion11
@explosion11
July 2022
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Решите уравнение:
(x+2)^4 + x^4 =82
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kate07102000
Обозначим Х + 1 = Т. Тогда уравнение принимает вид(Т + 1 )⁴ + (Т - 1)⁴ = 822 * Т⁴ + 12 * Т² + 2 = 82Т⁴ + 6 * Т² - 40 = 0Т²₁ = -10 (не подходит) Т²₂ = 4Следовательно Х + 1 = ± 2
Х₁ = -3 Х₂ = 1
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