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2x的平方 4x 1 0

2x平方-4x-1=0 2x^2-4x+2=3 2(x^2-2x+1)=3 2(x-1)^2=3 (x-1)^2=3/2 x-1=±√6/2 x=1±√6/2

2x²+4x=1 x²+2x=1/2 x²+2x+1=1/2+1 (x+1)²=3/2 x+1=±√6/2 x=(-2-√6)/2,x=(-2+√6)/2

(2X)^2—4X+1=0 解:(2X—1)^2=0 完全平方是吧?

答: 2x²-4x+1=0 2(x²-2x+1)-2+1=0 2(x-1)²=1 (x-1)²=1/2 x-1=±√2 /2 x=1±√2 /2

4x^2-1=0,所以x^2=1/4,即x=1/2或x=-1/2

2x^2-4x+1=0 x^2-2x=-1/2 x^2-2x+1=1/2 (x-1)^2=1/2 x=1+√2/2或x=1-√2/2

2x^2-4x-1=0 b^2-4ac=16-4*2*(-1)=24 x1=(4+根号24)/4=(2+ 根号6)/2 x2=(4-根号24)/4=(2-根号6)/2

4X²-4X+1>0 (2x-1)²>0 则2x-1≠0 x≠1/2 当x≠1/2时 4X²-4X+1>0

2(x-4)=1 x-4=1/2 x=1/2+4 =4又1/2

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