已知x加y加z等于2,xy加yz加xz等于负5

X+Y=5,XY=2,5X+4Y-3X-2Y+XY=2X+2Y+XY=2(X+Y)+XY=2×5+2=12.

|x-1|+(y-2)^2+√(z+3)=0由于绝对值、平方、根号不能是负数,而三者的和是0,所以|x-1|=(y-2)^2=√(z+3)=0所以x=1,y=2,z=-3所以√(xy+z²)

x^2+2x+y^2-6y+10=0=(x^2+2x+1)+(y^2-6y+9)=0=(x+1)^2+(y^2-6y+3^2)=0=(x+1)^2+(y-3)^2=0x=-1y=3xy=-3

（x+y)/2=(y+z)/3=(z+x)/4整理3x+3y=2y+2z4x+4y=2x+2z4y+4z=3z+3x化简的y=1/3xz=5/3x代入2x+4y+6z=120得x=9因而求的y=3z=

xy分之x加y等于2∴x+y=2xy3x减5xy加3y分之负x加3xy减y=[-(x+y)+3xy]/[3(x+y)-5xy]=(-2xy+3xy)/(6xy-5xy)=xy/(xy)=1

3x^2+2xy+y^2-6x-6y+9=0(x+y)^2-6(x+y)+9=0(x+y-3)^2=0x+y=3

3分之14再答：将两个方程相加，则去掉3y，得6x+6z=28两边同时除以6得x+z=3分之14

已知x平方加xy等于8,y平方加xy等于9,则x平方加y平方加2xy值是8+9=17

根据均值不等式x+2y≥2√[x*(2y)]=2√(2xy）,当且仅当x=2y取等两边平方得(x+2y)^2≥8xy……（*）将x=2y代入x+2y+2xy=8得x+x+x^2=8x^2+2x-8=0

直接设X=1,Y=0.5.带入后式得出10

XY/X+Y=-2,-->(x+y)/(xy)=-1/2,-->1/x+1/y=-1/2YZ/Y+Z=4/3,-->(y+z)/(yz)=3/4,-->1/y+1/z=3/4ZX/Z+X=-4/3,-

x方+y方+5/4=2x+y(x方-2x+1)+（y方-y+1/4)=0(x-1)方+（y-1/2)方=0x=1,y=1/2xy/(x+y)=1/3

x+1/y=11/y=1-xy=1/(1-x)z+1/x=1z=1-1/x=(x-1)/x1/z=x/(x-1)y+1/z=1/(1-x)+x/(x-1)=(1-x)/(1-x)=1

此题简单做法你直接可以设X=1,Y=0.5,使其满足前面的条件即可,带入后面分式,后面的式子中文表述不清,

(X+Y+Z)的平方就是4,展开就是X的平方+Y的平方+Z的平方+2XY+2XZ+2YZ=4.XY+YZ+XZ=5.则2XY+2YZ+2XZ=10.故答案就是-6

x²+y²+z²-2x-4y-6z+14=0(x-1)²+(y-2)²+(z-3)²=0因为每个平方数都≥0,它们之和为0,那么它们每个都为

∵x-y=5,y-z=3,∴x-z=8由x-y-5,得：x2-2xy+y2=25同理,可得：y2-2yz+z2=9x2-2xz+z2=64三式相加,得：2x2+2y2+2z2-2xy-2yx-2xz=

已知xy/(x+y)=2,求:(3x-5xy+3y)/(-x+3xy-y)xy/(x+y)=2得：xy=2(x+y)(3x-5xy+3y)/(-x+3xy-y)=(3x-9xy+3y+4xy)/(-x

题：8x+y-z=82x-y+z=18求8x+y+z原方程组变形为：8x+y=z+8……①2x-y=-z+18……②①+②得：10x=26x=13/5……③①-②×4得：5y=5z-64y=z-64/

xy分之【x加y】等于2分之一xy=2(x+y)【xy加x加y】分之xy=2(x+y)/[2(x+y)+x+y]=2(x+y)/[3(x+y)]=2/3