Question

直接开平方计算 (1) (2x-根号2)^2=0 (2)(2x-1)^2=9 (3)(x+3)^2=(1-2x)^2 (

Answer 1

解

(2x-√2)²=0

∴2x-√2=0

∴x=√2/2

(2x-1)²=9

2x-1=3或2x-1=-3

2x=4或2x=-2

x=2或x=-1

(x+3)²=(1-2x)²

x+3=1-2x或x+3=-(1-2x)

3x=-2或-x=-4

∴x=-2/3或x=4

3(1-2x)²=48

(1-2x)²=16

1-2x=4或1-2x=-4

-2x=3或-2x=-5

x=-3/2或x=5/2