十道求根公式的题
时间：2026-07-19 13:07:30来源：
以下是十道关于求根公式的题目及答案总结：
| 题号 | 方程 | 根公式 | 解答结果 |
| 1 | x² - 5x + 6 = 0 | x = [5±√(25-24)]/2 | x = 2, 3 |
| 2 | x² + 4x + 3 = 0 | x = [-4±√(16-12)]/2 | x = -1, -3 |
| 3 | 2x² - 8x + 6 = 0 | x = [8±√(64-48)]/4 | x = 1, 3 |
| 4 | x² - 4x + 4 = 0 | x = [4±√(16-16)]/2 | x = 2 (重根) |
| 5 | 3x² + 6x + 2 = 0 | x = [-6±√(36-24)]/6 | x = [-3±√3]/3 |
| 6 | x² + 2x + 5 = 0 | x = [-2±√(4-20)]/2 | x = -1 ± 2i |
| 7 | 4x² - 12x + 9 = 0 | x = [12±√(144-144)]/8 | x = 1.5 (重根) |
| 8 | x² - 6x + 8 = 0 | x = [6±√(36-32)]/2 | x = 2, 4 |
| 9 | 5x² + 10x + 5 = 0 | x = [-10±√(100-100)]/10 | x = -1 (重根) |
| 10 | x² + 3x - 10 = 0 | x = [-3±√(9+40)]/2 | x = 2, -5 |
通过这些题目，可以熟练掌握一元二次方程的求根方法。
