x的平方+2x-1因式分解 x的平方-2x+1 因式分解
x\u5e73\u65b9+2x-1\u600e\u4e48\u505a\u56e0\u5f0f\u5206\u89e3x^2+2x-1=x^2+2x+1-2=(x+1)^2-2,\u82e5\u662f\u65b9\u7a0b\uff0cx^2+2x-1=0\uff0c\u5219(x+1)^2-2=0\uff0c\uff08x+1)^2=2,x+1=\u00b12^1/2,\u2192x=-1\u00b12^1/2.
\u89e3\u6790
\uff08x-1)^2
\u56e0\u4e3a
\uff08a-b)^2=a^2-2ab+b^2
\u5e0c\u671b\u5bf9\u4f60\u6709\u5e2e\u52a9
\u5b66\u4e60\u8fdb\u6b65O(\u2229_\u2229)O\u8c22\u8c22
=x²+2x+1-2
=（x+1）²-（√2）²
=（x+1+√2）（x+1-√2）
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绛旓細x(x-2)=0 x₁=0;x₂=2
绛旓細瑙ｏ細x²锛2x锛1锛濓箼x锛1锕²锛2 锛濓箼x锛1锛嶁垰2锕氾箼x锛1锛嬧垰2锕
绛旓細x鐨勫钩鏂+2x-1 =x²+2x+1-2 =锛坸+1锛²-锛堚垰2锛²=锛坸+1+鈭2锛夛紙x+1-鈭2锛夋湅鍙,璇峰強鏃堕噰绾虫纭瓟妗,涓嬫杩樺彲鑳藉府鎮,鎮ㄩ噰绾虫纭瓟妗,鎮ㄤ篃鍙互寰楀埌璐㈠瘜鍊,璋㈣阿銆
绛旓細x^2+2x-1 =(x+1)^2-2 =(x+1+鏍瑰彿2)(x+1-鏍瑰彿2)
绛旓細X^2+2X-1=47 X^2+2X-48=0 锛圶-6锛夛紙X+8锛=0 X1=6锛孹2=-8 杩欐槸涓竴鍏冧簩娆℃柟绋嬶紝鏈変袱涓В銆
绛旓細鏉ヤ釜绠鍗曠偣锛岃兘璁╀汉鐞嗚В鐨 x鐨勫钩鏂锛2x锛1=x鐨勫钩鏂癸紜2x+1-2=锛坸+1锛夌殑骞虫柟-2=(x+1+鏍瑰彿2)*(x+1-鏍瑰彿2)
绛旓細x鐨勫钩鏂(2x-1)-(1-2x)鐨勫钩鏂 =x鐨勫钩鏂(2x-1)-(2x-1)鐨勫钩鏂 =(2x-1)锛坸²-2x锛1锛=(2x-1)锛坸-1锛²
绛旓細x^2+2x-1=x^2+2x+1-2=(x+1)^2-2,鑻ユ槸鏂圭▼锛寈^2+2x-1=0锛屽垯(x+1)^2-2=0锛岋紙x+1)^2=2,x+1=卤2^1/2,鈫抶=-1卤2^1/2.
绛旓細X骞虫柟-2X-1=(X-1)^2-2=(X-1-鏍瑰彿2锛夛紙X-1+鏍瑰彿2锛4路X骞虫柟-8XY-Y骞虫柟=锛2X-2Y锛塣2-5Y^2=(2X-2Y+鏍瑰彿5Y锛(2X-2Y-鏍瑰彿5Y锛
绛旓細浣犲彲浠ヤ护璇ュ紡绛変簬闆讹紝鐒跺悗瑙ｅ嚭涓や釜鏍癸紝鍒嗗埆鏄痻1=锛堟牴鍙2锛夆1鍜x2+=锛堣礋鏍瑰彿2锛+1锛屾墍浠鍒嗚В鐨(x+x1)(x+x2).
