因式分解法 4x²-8x+3=0
(2X-3)(2X-1)=0
x=3/2或x=1/2
配方法 4x²-8x+3=0
4(x-1)^2=1
x-1=±1/2
x=3/2或x=1/2
Δ法 x=(-b±√b^2-4ac)/2a
=(8±4)/8
即x=3/2或x=1/2
4x²-8x+3=0
4(x²-2x+1)-1=0
4(x²-2x+1)=1
4(x-1)²=1
(x-1)²=1/4
x-1=±1/2
x=1±1/2
x1=3/2,x2=1/2
4x²-8x+3=0
4x²-8x+3+1=1
4x²-8x+4=1
4(x²-2x+1)=1
(x²-2x+1)=1/4
(x-1)²=1/4
(x-1)=1/2或-1/2
X=3/2或X=1/2
4x²-8x+3=0
4x²-8x=-3
x²-2x=-3/4
x²-2x+1=-3/4+1
(x-1)²=1/4
x-1=1/2或-1/2
x=3/2或1/2
4x²-8x+3=0
(2X-3)(2X-1)=0
2X-3=0 2X-1=0
X1=3/2 X2=1/2