1-x 2-x-8 3＝1-搜答案-灵鹊做题网

要使根号(x2+2x+4)-根号(x2-x+1)

设(x²-1)/(x²+2x)=t则8t+3/t=118t²-11t+3=0(8t-3)(t-1)=0解得t=3/8或t=11.t=3/8(x²-1)/(x&#

去分母得：x^2(y-1)+x(1-y)+y=0y=1时,上式无解y=1时,为二次式,须有delta>=0即(1-y)^2-4y(y-1)>=0(y-1)(3y+1)再问：x^2(y-1)+x(1-y

因为x^2＝x＋1,所以x^2-1=x两边平方有：(x^2-1)^2=x^4-2x^2+1=x^2则：x^4+1=3x^2所以x^2＋1/x^2=(1+x^4)/x^2=3x^2/x^2=3

原式=(x²+3x+9)/(x-3)(x²+3x+9)-6x/x(x-3)(x+3)-(x-1)/2(x+3)=1/(x-3)-6/(x-3)(x+3)-(x-1)/2(x+3)=

x2-5x+1=0则x2+x2/1

你可以参见“韦达定理”方程两个根的积是1,说明他们互为倒数.x^2+1/x^2=(x+1/x)^2-2*x*1/x=（-5）²-2=23

X2+2x-1因式分解

X^2+2x-1=0x=[-2±√(2^2+4)]/2=-1±√2X^2+2x-1=(x+1-√2)(x+1+√2)

原式=（x+1）/（x-1）-x(x-2)/(x+1)(x-1)÷(x-2)(x+1)/(x+1)²=（x+1）/(x-1)-x/(x-1)=(x+1-x)/(x-1)=1/(x-1)请好评

令a=x2+x(a+1)(a+12)=42a2+13a+12=42a2+13a-30=0(a+15)(a-2)=0a=-15,a=2x2+x=-15x2+x+15=0无解x2+x=2x2+x-2=(x

x趋近无穷?如果是无穷,答案是1/2先有理化,然后再分子分母各除以x

令x²+x=t原方程变为t+1=6/tt²+t-6=0(t+3)(t-2)=0则t=2或-31）x²+x=2x²+x-2=0(x+2)(x-1)=0x=-2或x

x2+x+1=2/(x2+x)(X²+x)²+(x²+x)-2=0(x²+x+2)(x²+x-1)=0∴x²+x-1=0x=(-1±√5)/

(x²+x)(x²+x-2)=-1把(x²+x)看成整体(x²+x)[(x²+x)-2]=-1运用乘法分配率(x²+x)²-2(x

x²+x-1/(x²+x)=3/2两边同时乘以(x²+x)得：(x²+x)²-1=3(x²+x)/22(x²+x)²-3

5x²－3x－5＝0△＝3²－4×5×(－5)＝109x＝[﹣(﹣3)±√109]/5由原方程可得所求式子＝(x＋5)－1/(x＋5)所求式子＝(118±6√109)/25－25/

因式分解x3-x2-x-1

x³-x²-x-1=（x³-x）-（x+1）=x（x²-1）-（x+1）=x（x+1）（x-1）-（x+1）=（x²-x-1）（x+1）

∫dx/x(x2+1),

令x=tant则dx=sec^2tdt于是∫dx/[x(x^2+1)]=∫sec^2t/[tantsec^2t]dt=∫dt/tant=∫(cost/sint)dt=∫(1/sint)dsint=ln

若在（x2-1x

在（x2-1x）n展开式中通项为Tk+1=Ckn(x2)n−k(−1x)k=（-1）kCnkx2n-3k又x的一次项是第六项，即2n−3k＝1k+1＝6即n＝8k＝5故答案为8．

(x/x2-9)-(1/x2+6x+9)=x/(x+3)(x-3)-1/(x+3)²=[x(x+3)-(x-3)]/(x-3)(x+3)²=[x²+3x-x+3]/(x-

令a=x+1/xa²=x²+2+1/x²2(a²-2)-9a+14=0(2a-5)(a-2)=0x+1/x=5/22x²-5x+2=0(2x-1)(x