用直接开平方法解方程1.4x^2-1=02.(x-3)^2=23.(x-1)^2=54.81(x-2)^2=16

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用直接开平方法解方程1.4x^2-1=02.(x-3)^2=23.(x-1)^2=54.81(x-2)^2=16用直接开平方法解方程1.4x^2-1=02.(x-3)^2=23.(x-1)^2=54.

用直接开平方法解方程1.4x^2-1=02.(x-3)^2=23.(x-1)^2=54.81(x-2)^2=16
用直接开平方法解方程1.4x^2-1=0
2.(x-3)^2=2
3.(x-1)^2=5
4.81(x-2)^2=16

用直接开平方法解方程1.4x^2-1=02.(x-3)^2=23.(x-1)^2=54.81(x-2)^2=16
( 1) 4x^2 - 1 = 0
4x^2 =1
x^2 = 1/4
所以,x1 = -1/2 x2 = 1/2
(2) (x-3)^2 = 2
x-3 = ±√2
所以,x1 = 3-√2,x2 = 3+√2
(3) (x-1)^2 = 5
x - 1 = ±√5
所以,x1 = 1-√5 x2 = 1+√5
(4) 81(x-2)^2 = 16
(x-2)^2 = 16/81
x-2 = ±4/9
所以,x1 = 2 - 4/9 x2 = 2 + 4/9