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\uff014(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
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
绛旓細x1=3锛x2=-1 鍒 鏋愶細鐩存帴寮骞虫柟鍙緱x-1=卤2锛屽嵆鍙眰寰楃粨鏋. 寮骞虫柟锛屽緱x-1=卤2锛 鍗x-1=2鎴杧-1=-2锛 鎵浠1=3锛寈2=-1. 鑰冪偣锛瑙涓鍏浜娆鏂圭▼ 鐐硅瘎锛氳В涓鍏冧簩娆℃柟绋嬬殑鑳藉姏鏄垵涓暟瀛﹀涔犱腑涓涓...
绛旓細(x-1)²=2x=1卤鈭2
绛旓細锛坸-1锛塣2=4 锛坸-1锛²=2²锛坸-1锛²-2²=0锛堝钩鏂瑰樊鍏紡锛塠锛坸-1锛+2][锛坸-1锛-2]=0 x1=锛坸-1锛+2=0锛堢Щ椤癸級x1=-1 x2=锛坸-1锛-2=0锛堢Щ椤癸級x2=3
绛旓細鍏朵腑锛宎 = 1锛宐 = -1锛宑 = -2銆傚洜姝わ紝鎴戜滑鏈夛細x = (-(-1) 卤 鈭((-1)^2-4(1)(-2)))/2(1)x = (1 卤 鈭(1+8))/2 x = (1 卤 鈭9)/2 x = (1 卤 3)/2 鎵浠ワ紝鏈変袱涓В锛歺 = (1 + 3)/2 = 2 x = (1 - 3)/2 = -1 鍥犳锛(x-1)(x+2)=4 鐨...
绛旓細(x-1)^2=4(x-1)(x-1)^2-4(x-1)=0 (x-1)(x-1-4)=0 (x-1)(x-5)=0 鎵浠-1=0鎴栬厁-5=0 x=1鎴栬厁=5
绛旓細鍥炵瓟锛x-1=卤2銆傗憽x-2=卤鈭3銆傗憿鎴戝啀鎯虫兂銆傗懀 -9(x-5)=2
绛旓細锛坸-1)锛坸+2)=4 x²+x-2-4=0 x²+x-2=0 (x+2)(x-1)=0 x=1鎴杧=-2
绛旓細锛坸锛1锛2鐨勫钩鏂锛4 锛坸锛1锛2鐨勫钩鏂-4=0锛坸-1+2锛夛紙x-1-2锛=0(x+1)(x-3)=0x1=-1 x2=3 璇峰ソ璇 ~鍦ㄥ彸涓婅鐐瑰嚮銆愯瘎浠枫戯紝鐒跺悗灏卞彲浠ラ夋嫨銆愭弧鎰忥紝闂宸茬粡瀹岀編瑙e喅銆戜簡銆傚鏋滀綘璁ゅ彲鎴戠殑鍥炵瓟锛屾暚璇峰強鏃堕噰绾筹紝~浣犵殑閲囩撼鏄垜鍓嶈繘鐨勫姩鍔泘~~濡傝繕鏈夋柊鐨勯棶棰橈紝璇蜂笉瑕佽拷闂殑褰㈠紡鍙戦...
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绛旓細鍘鏂圭▼鍙寲涓(x-1)^2=4 涔熷氨鏄痻-1=2鎴栬厁-1=-2 鎵浠=3鎴栬厁=1