16x^2-8x+1=2
(4x-1)^2=2
4x-1=√2 or 4x-1=-√2
x1=(√2+1)/4 ,x2=(-√2+1)/4
16x²-8x+1=2
解:依题意有
(4x-1)²=2,
则x1=(1-√2)/4,x2=(1+√2) /4
16x^2-8x-1=0
[8+√(8^2 -4x16x-1)] / (2x16) = (1+√2)/4 或 [8-√(8^2 -4x16x-1)]/(2x16) = (1-√2)/4
(4x-1)(4x+1)=0,x=1/4或x=-1/4