1.4x²-3x-1=0(用配方法)
4(x²-2*3/8x+9/64-9/64)-1=0
4(x-3/8)²-9/16-1=0
2(x-3/8)=±5/4
x-3/8=±5/8
x=1或x=-1/4
2.5x²-√(5x)-6=0(精确到0.1)
(√5x)²-(√5x)-6=0
(√5x-3)(√5x+2)=0
√5x-3=0或√5x+2=0
x=3√5/5或x=-2√5/5
x≈1.3或x≈-0.9
3.(2x-1)²-7=3(x+1)
4x²-4x+1-7-3x-3=0
4x²-7x-9=0
4(x²-2*7/8x+49/64-49/64)-9=0
4(x-7/8)²-193/16=0
2(x-7/8)=±√193/4
x=(7±√193)/8
4.(x²-3)²-3(3-x²)+2=0
(x²-3)²+3(x²-3)+2=0
(x²-3+2)(x²-3+1)=0
x²=1或x²=2
x=±1或x=±√2