（x-1）的四次方=？

(1+x)\u56db\u6b21\u65b9=1.4,X=\uff1f

x=0.0877573059372771726111171278296

x\u516b\u6b21\u65b9+x\u56db\u6b21\u65b9+1
= x\u516b\u6b21\u65b9+2x\u56db\u6b21\u65b9+1-x4\u6b21\u65b9
=(x\u76844\u6b21\u65b9+1)\u5e73\u65b9-x4\u6b21\u65b9
=\uff08x\u76844\u6b21\u65b9+1-x\u5e73\u65b9\uff09\uff08x\u76844\u6b21\u65b9+1+x\u5e73\u65b9\uff09

可以化成两个二次方之积再求 可得(x-1)^4=x^4-4x^3+6x^2-4x+1

X^4-4X^3+6X^2-4X+1

X^4-4X^3+6X^2-4X+1

(x-1)^4=x^4-4x^3+6x^2-4x+1

(x-1)鐨勫洓娆℃柟=?
绛旓細鍙互鍖栨垚涓や釜浜屾鏂逛箣绉啀姹 鍙緱(x-1)^4=x^4-4x^3+6x^2-4x+1

(x-1)鐨勫洓娆℃柟鍙互鍖栨垚浠涔
绛旓細锛坸-1锛夌殑鍥涙鏂 =x^4-4x^3+6x^2-4x+1

鍥犲紡鍒嗚В:(X-1)鐨4娆℃柟
绛旓細x鍥涙鏂-4x涓夋鏂+6x²-4x+1

x-1鐨勫洓娆℃柟鐨勫師鍑芥暟
绛旓細璁緐=x-1锛屽垯du=dx 鈭(x-1)^4dx =鈭玼^4du =1/5路u^5+C =1/5路(x-1)^5+C

(1-x)^4=?
绛旓細(1-x)^4=[(1-x)^2]^2 =(1-2x+x^2)^2 =x^4-4x^3+6x^2-4x+1

璇曟眰7娆″椤瑰紡f(x),浣垮緱鈥(x-1)鐨勫洓娆℃柟鈥 鑳芥暣闄(x)+1 , 鈥(x+1...
绛旓細x)=a(x^2-1)^3 鍗砯'(x)=a(x^6-3x^4+3x^2-1),浠庤 f(x)=a[(x^7)/7-3(x^5)/5+x^3-x]+c 鐢眆(1)+1=0,f(-1)-1=0鍙緱锛歛[1/7-3/5]+c=-1 a[-1/7+3/5]+c=1 鏁卌=0,a=-35/16 浜庢槸f(x)=-5(x^7)/16+21(x^5)/5-35(x^3)/16+35x/16 ...

(1-x)4娆℃柟寰楀睍寮寮忎腑x鐨绯绘暟鏄
绛旓細(1-x)4娆℃柟=(1-x)^2*(1-x)^2=(1-2x+x^2)*(1-2x+x^2)=x^4-4x^3+6x^2-4x+1 鏁(1-x)4娆℃柟寰楀睍寮寮忎腑x鐨勭郴鏁版槸-4

(x+1)鐨勫洓娆℃柟+(x²-1)²+(x-1)鐨勫洓娆℃柟鍥犲紡鍒嗚В
绛旓細寰 (x+1)^4+(x²-1)²+(x-1)^4 =a^4+a²b²+b^4 =a^4+2a²b²+b^4-a²b²=(a²+b²)²-(ab)²=(a²+b²+ab)(a²+b²-ab)=((2x²+2)+(x²-1))((2x²...

宸茬煡(2x-1)鐨勫洓娆℃柟=a4x鐨勫洓娆℃柟+a3x鐨勪笁娆℃柟+a2+x鐨勪簩娆℃柟+a1x+a0...
绛旓細(2x-1)^4=a4x^4+a3x^3+a2x^2+a1x+a0 褰x=1鏃 (2*1-1)^4=a4+a3+a2+a1+a0 1^4=a4+a3+a2+a1+a0 a4+a3+a2+a1+a0=1

(x+1)鐨勫洓娆℃柟绛変簬162鎬庝箞瑙?
绛旓細璇风湅鍥剧墖涓殑杩囩▼

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