用直接开平方解下列方程
问题描述:
用直接开平方解下列方程
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