解一元二次方程2x²=3x-1，用因式分解法，开平方法，配方法都可以
\uff08\u7528\u56e0\u5f0f\u5206\u89e3\u6cd5\u3001\u5f00\u5e73\u65b9\u6cd5\u3001\u914d\u65b9\u6cd5\u3001\u516c\u5f0f\u6cd5\u89e3\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\uff09 \u9009\u62e9\u9002\u5f53\u7684\u65b9\u6cd5\u89e3\u4e0b\u5217\u65b9\u7a0b\u3002 \uff081\uff092(x2(x-2)^2=18
(x-2)^2=9
x-2=3\u6216x-2=-3
x1=5 x2=-1
1\u3001x(3x-3)-x(x+5)=0
x(2x-8)=0
x(x-4)=0
x=0\u6216x=4
4\u3001(x-2)(x-5)=0
x=2\u6216x=5
7\u3001(5x-1+\u221a2)(5x-1-\u221a2)=0
x=(1-\u221a2)/5\u6216x=(1+\u221a2)/5
10\u3001y²+y-6=0
(y+3)(y-2)=0
y=-3\u6216y=2
13\u3001y²+2y-5=0
y=-1+\u221a6\u6216y=-1-\u221a6
16\u3001(x+6)(x-2)=0
x=-6\u6216x=2
19\u30015x²-8x+1=0
x=(4+\u221a11)/5\u6216x=(4-\u221a11\uff09/5
22\u30013x²-4x-1=0
x=(2+\u221a7)/3\u6216x=(2-\u221a7)/3
25\u3001(x-4)(2x+1)=0
x=4\u6216x=-1/2
28\u3001(x+6)(x-2)=0
x=-6\u6216x=2
31\u30013y²-2\u221a3y+1=0
(\u221a3y-1)²=0
y=\u221a3/3
34\u3001(x+1)(2x+7)=0
x=-1\u6216x=-7/2
(2)配方法:2x²－3x＋1＝0 2(x²－3/2 x＋9/16)＝9/8－1
2(x－3/4)²＝1/8 ∴x－3/4＝±1/4 ∴ x1＝1/2 x2＝1
2x²-3x+1=0. 因式分解（2x-1）（x-1）=0
x=½ 或 x=1
2x²-3x+1=0，（2x-1）（x-1）=0，x1=1/2,x2=1
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