Как решить пример:
[tex] \sqrt{x-9} = \frac{36}{ \sqrt{x-9} } - \sqrt{x} [/tex]
[tex] \sqrt{x-9} = \frac{36}{ \sqrt{x-9} } - \sqrt{x} [/tex]
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Verified answer
Умножаем все на √(x-9):x - 9 = 36 - √(x² - 9x)
x - 45 = √(x² - 9x)
x² - 90x + 2025 = x² - 9x
81x = 2025
x = 25
Проверка:
√(25 - 9) = 36/√(25-9) - √25
√16 = 36/√16 - 5
4 = 36/4 - 5
4 = 9 - 5
4 = 4 - верно
Ответ: 25