已知方程x x分之1

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已知方程x x分之1
已知x,y是实数,且适合方程(xx+xy-12)(xx+xy-12)+(xy-2yy-1)(xy-2yy-1)=0求x,

(x²+xy-12)²+(xy-2y²-1)²=0由于平方数都大于或等于0,所以上式成立的前提是:(x²+xy-12)²=0,即:x&sup

已知x+1/x=3,求(xx)/(xxxx+xx+1)的值

(xx)/(xxxx+xx+1)=x^2/(x^4+x^2+1)=1/x^2+1+x^2=x^2+1/x^2+2-1=(x+1/x)^2-1=3^2-1=8

解分式方程(1)2x+1-xx

(1)方程两边同乘(x-1)(x+1),得:2(x-1)-x=0,整理解得x=2.经检验x=2是原方程的解.(2)方程两边同乘(x-3)(x+3),得:3(x+3)=12,整理解得x=1.经检验x=1

已知y=xx

根据题意得,xx2−x÷x2−1x2−2x+1−2x+1=13,xx(x−1)×(x−1)2(x−1)(x+1)-2x+1=13,-1x+1=13,解得x=-4,经检验x=-4是原方程的根;∴原方程的

已知xx

由xx2+x+1=13整理变形,转化为x+1x=2,分式x2x4+x2+1=13.故答案为13.

解分式方程1−xx−2+2=12−x,可知方程(  )

原方程可变形为1−xx−2+2=−1x−2,两边都乘以(x-2),得(1-x)+2(x-2)=-1.解之得x=2.代入最简公分母x-2=0,因此原分式方程无解.故选D.

已知:3x=xx-x+1求(xxxx+xx+1)分之xx

由已知方程可得:X^2=4X-1然后将分式中的X平方换成4X-1X的四次方换成X平方的平方再整理再将整理后的X平方继续换成4X-1最后化简:分子为4X-1分母为15(4X-1)得答案1/15这个题主要

解方程1/(xx+x)+1/(xx+3x+2)+1/(xx+5x+6)+1/(xx+7x+12)+1/(xx+9x+20

方程左边1/(xx+x)+1/(xx+3x+2)+1/(xx+5x+6)+1/(xx+7x+12)+1/(xx+9x+20)对分母因式分解得1/x(x+1)+1/(x+1)(x+2)+1/(x+2)(

当k=______时,分式方程xx−1+kx−1−xx+1=0

方程两边都乘以(x-1)(x+1),得x(x+1)+k(x+1)-x(x-1)=0.解得x=-kk+2,∵分式方程无解,∴−kk+2=±1,解得k=-1,故答案为:-1.

解方程:2-xx-3=1-13-x.

去分母:(2-x)=x-3+1,化简得:2x=4,∴x=2,经检验,原分式方程的根是:x=2.

解方程:(1)2xx−2=1

(1)方程两边同乘x-2,得2x=x-2,解得x=-2.经检验,x=-2是原方程的解.(2)方程两边同乘以x(x+1),得(x+1)2+5x2=6x(x+1),即x2+2x+1+5x2=6x2+6x,

已知xx+xy=1,xy-yy=-4,则xx+2xy-yy=

xx+2xy-yy=-3两式相加即可

已知xx+x-1=0,求:xx+1/xx,xxxx+1/xxxx

x²-1=-x两边除以xx-1/x=1两边平方x²-2+1/x²=1x²+1/x²=3x²+1/x²=3两边平方x^4+2+1/x

分式方程xx−1−1

方程两边都乘以(x-1)(x+2)得,x(x+2)-(x-1)(x+2)=m,x2+2x-x2-x+2=m,m=x+2,∵分式方程有增根,∴(x-1)(x+2)=0,∴x-1=0,x+2=0,解得x1

已知x/(xx+x+1)=a,求xx/(xxxx+xx+1)的值

x/(xx+x+1)=a分子分母除以x,1/(x+1+1/x)=a,x+1/x=1/a-1,两边平方xx+2+1/xx=(1/a-1)^2xx+1/xx=(1/a-1)^2-2xx/(xxxx+xx+

用换元法解方程:(xx−1

设xx−1=y,则原方程化为y2-5y+6=0.解得y1=2,y2=3.当y1=2时,xx−1=2,解得x1=2当y2=3时,xx−1=3.解得x=32经检验x1=2,x2=32都是原方程的根∴原方程

已知xx-5x+1=0,求xxxx+1/xx的值

x^2-5x+1=0方程两边同除以xx-5+1/x=0x+1/x=5(x^4+1)/x^2=x^2+1/x^2=(x+1/x)^2-2=5^2-2=25-2=23方可以用“^”表示再问:(x^4+1)

关于x的分式方程:xx+1=12

xx+1=12,方程的两边同乘2(x+1),得2x=x+1,解得,x=1.检验:把x=1代入2(x+1)=4≠0.∴原方程的解为:x=1.

已知x(x+1)-(xx+y)=3,求(xx+yy)/2-xy的值

x^2+x-x^2-y=3x-y=3(x-y)^2=9x^2+y^2-2xy=9(x^2+y^2)/2-xy=9/2