6. Решите уравнение: a) (5x-2)(5x + 2) - (5x − 1)² = 4; б) 100x² - 16 = 0.

a) (5x - 2)(5x + 2) - (5x - 1)² = 4 25x² - 4 - (25x² - 10x + 1) = 4 25x² - 4 - 25x² + 10x - 1 = 4 10x - 5 = 4 10x = 9 x = 9/10 x = 0,9 б) 100x² - 16 = 0 100x² = 16 x² = 16/100 x² = 0,16 x = ±√0,16 x = ±0,4 **Ответ:** a) \(x = 0.9\) б) \(x = \pm 0.4\)