解方程(x-1)(x+2)=4

\u89e3\u65b9\u7a0b 4(x-2)=x+1 \u600e\u4e48\u89e3\uff1f \u8981\u8fc7\u7a0b\uff01\uff01\uff01

4(x-2)=x+1
4x-8=x+1
4x-x=1+8
3x=9
x=9\u00f73
x=3

\u5f88\u9ad8\u5174\u4e3a\u60a8\u89e3\u7b54\uff0c\u795d\u4f60\u5b66\u4e60\u8fdb\u6b65\uff01\u5982\u679c\u6709\u5176\u4ed6\u95ee\u9898\u8bf7\u53e6\u53d1\u6216\u70b9\u51fb\u5411\u6211\u6c42\u52a9\uff0c\u8bf7\u8c05\u89e3\uff0c\u8c22\u8c22\uff01
\u6709\u4e0d\u660e\u767d\u7684\u53ef\u4ee5\u8ffd\u95ee\uff01\u5982\u679c\u60a8\u8ba4\u53ef\u6211\u7684\u56de\u7b54\u3002\u8bf7\u70b9\u51fb\u4e0b\u9762\u7684\u3010\u9009\u4e3a\u6ee1\u610f\u56de\u7b54\u3011\u6309\u94ae\u3002

\u4e24\u8fb9\u4e58\u4ee5\u516c\u5206\u6bcd(x+1)(x-1)
(x-1)²-(x+2)(x+1)=4
x²-2x+1-x²-3x-2=4
5x=-5
x=-1
\u5206\u6570\u65b9\u7a0b\u8981\u68c0\u9a8c
\u7ecf\u68c0\u9a8c\uff0cx=-1\u4f7f\u5f97\u516c\u5206\u6bcd\u4e3a0\uff0c\u662f\u589e\u8ddf\uff0c\u820d\u53bb
\u6240\u4ee5\u65b9\u7a0b\u65e0\u89e3

(x-1)(x+2)=4
x²+x-2-4=0
x²+x-2=0
(x+2)(x-1)=0
x=1或x=-2


见图



x²+x-6=0
(x+3)(x-2)=0
x₁=-3
x₂=2

2

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