用直接开平方解下列方程

首页/题库/232℃/2024-05-08 11:58:18

优质解答：

① 36 - x ² = 0

36 = x ²

x = ± 6

x1 = 6,x2 = - 6

② （x + 2）² - 16 = 0

（x + 2）² = 16

x + 2 = ± 4

x = ± 4 - 2

x1 = 2 ,x2 = - 6

③ （1 - 2 x）² - 3 = 0

（1 - 2 x）² = 3

1 - 2 x = ± √3

2 x = 1 ± √3

x1 = 1 + √3 ,

x2 = 1 - √3

④ 49（x + 1）² = （x - 2）²

两边开方得：

7（x + 1）= x - 2

7 x + 7 = x - 2

6 x = - 9

x = - 3 / 2

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