若(x平方-3x 4)(x平方-ax 1)的展开式中含x平方项的系数-1,求a值
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x²-3x+1=0x²+1=3x两边平方x4次方+2x²+1=9x²x4次方+1=7x²两边平方x8次方+2x4次方+1=49x4次方x8次方+1=4
x^2-3x+1=0x^2+1=3x两边同除以xx+1/x=3x^2+1/x^2=(x+1/x)^2-2=9-2=7x^4+1/x^4=(x^2+1/x^2)^2-2=49-2=47
假设(x^2+2x+5)(x^2+ax+b)=x^4+px^2+q则5b=q,a+2=0,b+5+2a=p,2b+5a=0p=6,q=25pq=150
x^2-3x+1=0x^2+1=3x同时除以xx+1/x=3所以x^2+1/x^2=(x+1/x)^2-2=3^2-2=7x^2/(x^4+x^2+1)=1/(x^2+1+1/x^2)=1/8
4x^2+(6x^3-12x^4)/(3x^2)=4x^2+3x^2(2x-4x^2)/(3x^2)=4x^2+2x-4x^2=2x
(x²+x)/(x^4-3x²+1)=(x^-2+x^-3)/(1-3x^-1+x^-4)当x趋于无穷大时,上式=0/1=0
x²-3x+1=0两边同除以x得x-3+1/x=0即x+1/x=3x平方/x4次方+x平方+1这里分母是x4次方,则x平方/x4次方+x平方+1=1/x²+x²+1=﹙x
x+1/x==3两边乘xx²+1=3x两边平方x^4+2x²+1=9x²x^4+x²+1=8x²所以x²/(x^4+x²+1)=1
当x趋向于0时,sinx等价于x所以原式等价于x^4这个可以根据基本极限lim(x趋于0)sin(x)/x=1得到
x²-3x+1=0同除以xx+1/x-3=0x+1/x=3两边平方x²+1/x²+2=9x²+1/x²=7x²/(x^4+3x²+
原式=(x+1)//(x²+1)*(x²+1)(x+1)(x-1)/(x+1)³-(x-3)/(x+1)=(x-1)/(x+1)-(x-3)/(x+1)=(x-1-x+3
应该是x+x分之1=3吧原式=(x平方+1+x平方分之1)分之1=[(x+1/x)平方-1]分之1=(3平方-1)分之1=8分之1
x^2-3x+1=0x^2+1=3xx+1/x=3(x+1/x)^2=9x^2+1/x^2+2=9x^2+1/x^2=7(x^2+1/x^2)^2=49x^4+1/x^4+2=49x^4+1/x^4=
x²-3x+1=0可以得出x≠0两边同除以x得x-3+1/x=0即x+1/x=3x²+1/x²=(x+1/x)²-2=7x⁴+1/x⁴=
x⁴+2x³+4x²+3x+2=x⁴+x³+x²+x³+x²+x+2x²+2x+2=x²(x
x+1/x=3两边平方x^2+2*x*1/x+1/x^2=3^2x^2+2+1/x^2=9x^2+1/x^2=7x^2/(x^4+x^2+1)上下除以x^2=1/(x^2+1+1/x^2)=1/(7+
(x4+x2+1)/x2=x2+1+1/x2=(x+1/x)^2-2+1=9-1=8所以所求=1/8(x4=x^4,凑合看)
x=3或者1/3,所以答案是9/91
6X^2-7xy-3y^2-x+7y-2=6x^2-(7y+1)x-(3y^2-7y+2)=6x^2-(7y+1)x-(y-2)(3y-1)=[2x-(3y-1)][3x+(y-2)]=(2x-3y+
x平方-3x+1=0二边同除以xx-3+1/x=0x+1/x=3x^2+1/x^2=(x+1/x)^2-2=3^2-2=7x^4+1/x^4=(x^2+1/x^2)^2-2=7^2-2=47