x^2-2√2x+(√2)^2-(√2)^2+1/4=0
x^2-2√2x+2-2+1/4=0
x^2-2√2x+1/4=0
所以x=√2+√7/2 或x=√2-√7/2
x^2-2√2x+(√2)^2-(√2)^2+1/4=0
x²-2√2x+1/4=0
x²-2√2x+2=2-1/4
(x-√2)²=7/4
x-√2=±1/2√7
x=√2±1/2√7
x^2-2√2x+(√2)^2-(√2)^2+1/4=0
(x-√2)^2-2+1/4=0
(x-√2)^2-7/4=0
(x-√2-√7/2)(x-√2+√7/2)=0
x=√2+√7/2或x=√2-√7/2