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Neznager
@Neznager
August 2022
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Найдите значения выражения a^2+1/a^2, если a+1/2=2
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Dимасuk
Verified answer
Выделим полный квадрат:
a² + 1/a² = a² + 2 + 1/a² - 2 = (a + 1/a)² - 2 = 2² -2 = 4 - 2 = 2.
Ответ: 2.
2 votes
Thanks 1
sedinalana
A²+1/a²=(a+1/a)²-2=2²-2=4-2=2
2 votes
Thanks 0
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Answers & Comments
Verified answer
Выделим полный квадрат:a² + 1/a² = a² + 2 + 1/a² - 2 = (a + 1/a)² - 2 = 2² -2 = 4 - 2 = 2.
Ответ: 2.