已知A=x平方-1分之x平方 2x 1-x-1分之x (1)化简A (2)
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原式=(x^2-1)/x÷(x^2+x)/x^2=(x-1)(x+1)/x*x^2/x(x+1)=x-1当x=2时,原式=2-1=1
2(x-2分之1)的平方+|y-1|=0x-1/2=0x=1/2y-1=0y=1代入A、B得:A=3/4-1/2+1=5/4B=1/2-3/2-2=-33B-2A=-9-5/2=-23/2
∵x的平方-4x+1=0∴x-4+1/x=0x+1/x=4(x+1/x)²=4²∴x²+1/x²=14∵x²+1/x²=14x²-
[x的平方-x分之x+1-x的平方-2x+1分之x]除以x分之1=[(x+1)/x(x-1)-x/(x-1)²]×x=(x+1)/(x-1)-x²/(x-1)²=(x
x²-5x+1=0x²+1=5x两边除以xx+1/x=5x²+1=5x两边平方x四次方+2x²+1=25x²x四次方+1=23x²两边除以x
解题思路:先解方程求出x,再化简另一分式并把x值代入计算即可解题过程:解:经检验是原方程的解。
右边通分=[A(x-2)-B]/(x-2)²=[Ax+(-2A-B)]/(x-2)²=(x+3)/(x-2)²所以Ax+(-2A-B)=x+3A=1-2A-B=3所以A=
(1)x²-5x+1=0∴x-5+1/x=0∴x+1/x=5(2)x²+1/x²=(x+1/x)²-2=5²-2=23明教为您解答,请点击[满意答案]
x/y=1/2y=2x(x^2+2xy+y^2)/(x^2-xy+y^2)=(x^2+2x*2x+(2x)^2)/(x^2-x*2x+(2x)^2)=9x^2/3x^2=3
y分之x=2分之1y=2x所以原原式=(x²-2x²-8x²)分之(x²+4x²+4x²)=-9分之9=-1
求2a的平方-5a-2+a的平方+1分之3x^2-3x+1=0的根a=3/2±5^0.5/22a^2-5a-2+a^2+1/3=3a^2-9a+1+4a-3+1/3=4a-8/3=6±2*5^0.5-
右边通分:A/(X+1)+B/X=[AX+B(X+1)]/X(X+1)=[(A+B)X+B]/(X^2+X)与左边比较得方程组:A+B=2B=3解得:A=-1,B=3.∴A-B=-1-3=-4.
x/(x^2-3x+1)=21/(x-3+1/x)=2x-3+1/x=1/2x+1/x=7/2x^2/(x^4+x^2+1)=1/(x^2+1+1/x^2)=1/[(x+1/x)^2-2+1]=1/[
x-1/x=3两边平方x^2-2+(1/X)^2=9x^2+(1/X)^2=11
X的平方+3X-1=0x-1/x=-3X的平方+(X的平方分之1)+2X-(X分之2)(x-1/x)^2+2(x-1/x)+2=(-3)^2-2*-3+2=17
∴X的平方=2X的平方-1分之(X-1)的平方+X+1分之X的平方=(x-1)/(x+1)(x-1)+x/(x+1)=(x+x-1)/(x+1)=(2+x-1)/(x+1)=(x+1)/(x+1)=1
(x-1)^2/(x^2-1)+x^2/(x+1)=(x-1)/(x+1)+x2/(x+1)=(x^2+x-1)/(x+1)=(x+1)/(x+1)=1
焦距为4√2故c=2√2e=c/a=2,即c=2a,a=√2又c²=a²+b²即b²=6,b=√6
y分之x=2分之1y=2x所以原原式=(x²-2x²-8x²)分之(x²+4x²+4x²)=-9分之9=-1