已知y分之x=17分之19求x y分之x-y

y+z分之x=x+z分之y=x+y分之z;合比定理：x/(x+y+z）=y/(x+y+z)=z/(x+y+z);得x=y=z,y+z分之x的值=1/2

(x-y)/(x+y)=(x-y)(x+y)/[(x+y)^2]=(x^2-y^2)/[x^2+y^2+2xy]=2xy/[x^2+y^2+x^2-y^2]=2xy/(2x^2)=y/xx^2-y^2

2x-y分之x+y=2,则2x-y=2(x+y)4x-2y分之x+y-4x+4y分之2x-y=2(2x-y)分之x+y-4(x+y)分之2x-y=4(x+y)分之x+y-4(x+y)分之2(x+y)=

1/x-1/y=2001则(x-xy-y)/(x-y)=2002/2001

∵1/x+1/y=1/6,1/y+1/z=1/9,1/z+1/x=1/15∴（1/x+1/y）+（1/y+1/z）+（1/z+1/x）=1/6+1/9+1/152（1/x+1/y+1/z）=15/90

x+y分之4x-2y-2x-y分之4x+4y=2(2x-y)/(x+y)-4(x+y)/(2x-y)=2*2-4*(1/2)=4-2=2

2/3

解原式=2(x-y)/(x+y)-(x+y)/3(x-y)=6(x-y)(x-y)/[3(x+y)(x-y)]-(x+y)x+y)/[3(x-y)(x+y)]=5(x-y)(x-y)/[(x+y)(x

x+y=-3x=-y-3xy=2(-y-3)y=2-y²-3y-2=0y²+3y+2=0（y+1）（y+2）=0y1=-1y2=-2一、当y1=-1时,x1=-2,根号y分之x加根

根据x+y=5,xy=3,的出（x+y）的平方=19求根号y分之x+根号x分之y可以先求它的平方值\x0d得出式y的平方/x+2倍的xy/根号XY+x的平方/y然后再可并y的平方/x+x的平方/y的出

y=-3-2将其带入xy=2得x(-3-x)=2,整理得(x+2)(x+1)=0所以x=-2,y=-1,或y=-2,x=-1答案为2分之三倍根号2

2倍根号2（把“根号y分之x+根号x分之y”整体处理一下.先平方,再开平方,值不变,再化简代值就很容易了.一定不要先去算X、Y的值!）

∵x＋y＝5,xy＝3∴x＞0,y＞0√﹙x/y﹚＋√﹙y/x﹚＝√xy/y＋√xy/x＝√xy﹙x＋y﹚/xy＝﹙x＋y﹚/√xy＝5/√3＝5√3/3再问：√xy﹙x＋y﹚/xy怎么化为﹙x＋y﹚

x+y分之x-y=2求x+y分之3x-3y减x-y分之2(x+y)的值x+y分之x-y=2x-y=2(x+y)(x+y)分之(3x-3y)-(x-y)分之2(x+y)的值x+y分之3x-3y=(x+y

x+y=2又20分之19x-y=5分之1等式左边加左边,右边加右边.x+y+x-y=20分之632x=20分之63x=40分之63y=40分之55

ay/(y-b)

y=4x带入3x-y=3x-4x=-xx+y=x+4x=5x(x+y)/(3x-y)=5x/(-x)=-5

x/3-y/4=3x+2y==>4x-3y=36x+24y==>①32x=-27y==>x=-27y/32②(4x-3y)^2=(36x+24y)^2②==>16x^2+9y^2-24xy=1296x

原式等价于10(x+1)=5(y+3)=4(x+y)10(x+1)=5(y+3)可得2x-y=15(y+3)=4(x+y)可得4x-y=15解得x=7y=13x+2y+3=363x+2y+1=48两式

5x=4y另x=4t,y=5t所以x/y=4t/5t=4/5(x+y)/y=(4t+5t)/5t=9/5再问：为什么5X=4Y再答：因为5x-4y=0移项5x=4y再问：为什么要设4T和5T再答：为了