Решите уравнение: a) (3x-2)(3x+2) – (3x–8)² = 14x; б) 25x² – 36 = 0.

Ответ: а) x = 1.6; б) x = ±1.2

Пошаговое решение:

а) (3x-2)(3x+2) – (3x–8)² = 14x

9x² - 4 - (9x² - 48x + 64) = 14x

9x² - 4 - 9x² + 48x - 64 = 14x

48x - 68 = 14x

34x = 68

x = \(\frac{68}{34}\) = 1.6

б) 25x² – 36 = 0

25x² = 36

x² = \(\frac{36}{25}\)

x = ±\(\sqrt{\frac{36}{25}}\) = ±\(\frac{6}{5}\) = ±1.2

Ответ: а) x = 1.6; б) x = ±1.2