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СлаваSLOVO
@СлаваSLOVO
June 2022
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Решите уравнение:
(3х+1)^2-(3х-1)^2=х+5
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Verified answer
(3х + 1)² - (3х - 1)² = х + 5
По формуле a² - b² = (a + b)(a - b):
((3х + 1) + (3х - 1)) * ((3х + 1) - (3х - 1)) = х + 5
(3х + 1 + 3х - 1) * (3х + 1 - 3х + 1) = х + 5
6х * 2 = х + 5
12х = х + 5
11х = 5
х = 5/11
Ответ: 5/11
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Answers & Comments
Verified answer
(3х + 1)² - (3х - 1)² = х + 5По формуле a² - b² = (a + b)(a - b):
((3х + 1) + (3х - 1)) * ((3х + 1) - (3х - 1)) = х + 5
(3х + 1 + 3х - 1) * (3х + 1 - 3х + 1) = х + 5
6х * 2 = х + 5
12х = х + 5
11х = 5
х = 5/11
Ответ: 5/11