Rozwiąż równanie : a) x kwadrat + 9 = 6x b) 4 x kwadrat + 9 = 12 x c) 16 x kwadrat = 1 d) 25 x kwadrat = 9 e) 2 x kwadrat = 1 f) 9 x kwadrat = 6

a) x² + 9 = 6x x² - 6x + 9 = 0 (x - 3)² = 0 x - 3 = 0 x = 3 b) 4x² + 9 = 12x 4x² - 12x + 9 = 0 (2x - 3)² = 0 2x - 3 = 0 2x = 3 /:2 x = 3/2 x = 1,5 c) 16x² = 1 16x² - 1 = 0 (4x + 1)(4x - 1) = 0 4x + 1 = 0                           4x - 1 = 0 4x = -1/:4                            4x = 1/:4 x = -1/4                                 x = 1/4 d) 25x² = 9 25x² - 9 = 0 (5x + 3)(5x - 3) = 0 5x + 3 = 0                   5x - 3 = 0 5x = -3/:5                    5x = 3 /:5 x = -3/5                         x = 3/5 e) 2x² = 1/:2 x² = 1/2 /√ x = √1/2                          x = -√1/2 f) 9x² = 6 /:9 x² = 6/9 x² = 2/3 /√ x = √2/3                        x = -√2/3