已知x 2y-8z=04x-2y

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已知x 2y-8z=04x-2y
已知x+y=-5,xy=7,求x2y+xy2-x-y的值.

x2y+xy2-x-y=xy(x+y)-(x+y)=(x+y)(xy-1)∵x+y=-5,xy=7,∴原式=-5×(7-1)=-30.

已知 x,y,z都是正实数,且 x+y+z=xyz 证明 (y+x)/z+(y+z)/x+(z+x)/y≥2(1/x+1

1/x=p1/y=q1/z=rpq+qr+pr=1(y+x)/z+(y+z)/x+(z+x)/y≥2(1/x+1/y+1/z)^2为(pq+qr+pr)[r/p+r/q+q/r+q/p+p/r+p/q

已知X、Y、Z满足2X-Y+4Z=8(1);X-2Y-Z=7(2)求X-Y-Z的值

2x-y+4z=8.1x-2y-z=7.21+2,得:3x-3y+3z=15即:x-y+z=5

2(x2y+xy)-3(x2y+xy)-4x2y其中x=-2,y=12

原式=2x2y+2xy-3x2y-3xy-4x2y=-5x2y-xy当x=-2,y=12时,原式=-9.

已知:X、Y、Z满足2X-Y+4Z=8,X-2Y-Z=7,求X-Y+Z的值

2x-y+4z=8.1x-2y-z=7.21+2,得:3x-3y+3z=15即:x-y+z=5再问:就这样吗?再答:是的答案已经出来了啊

当x=2011,y=2012时,求代数式3x3-4x3y2+3x2y+2x2+4x3y2+2x2y-5x2-5x2y+x

化简得:9-12Y^2+6Y+4+12Y^2+4Y-10-10Y+X-Y+1=X-Y+4带入X、Y值得:=3

已知x+2y-z=8,2x-y+z=18 ,求8X+Y-Z的值

8X+Y-Z=m(X+2Y-Z)+n(2X-Y+Z)=(m+2n)X+(2m-n)Y+(-m+n)Zm+2n=8;2m-n=1;-m+n=1解得,m=2,n=3所以8X+Y-Z=2×8+3×18=70

(X+Y)2=1402X2Y*3=14400

(X+Y)2=1402X2Y*3=14400(X+Y)2=140→X+Y=70→Y=70-X①2X2Y*3=14400→XY=1200②把①代人②得:X(70-X)=1200X²-70X+1

已知x,y,z满足(1)已知|x-2|+(y+3)2=0(2)z是最大的负整数化简求值2(x2y+xyz)-3(x2y-

|x-2|+(y+3)²=0都是非负式所以分别都=0所以x-2=0y+3=0所以x=2y=-3又因为z是最大的负整数所以z=-1原式=2(x²y+xyz)-3(x²y-x

已知xy=-2,x-y=3,求(x+y)(x-y)-y平方+(x-y)平方-(6x2y-2xy平方)/2y的值

(x+y)(x-y)-y^2+(x-y)^2-(6x^2y-2xy^2)/(2y)=X^2-y^2-y^2+X^2+y^2-2xy-3x^2+xy=-x^2-y^2-xy=-(x^2+y^2+xy-3

已知x+y+z=0,求x4+y4+z4-2x2y-2y2z2-2z2x2的值

(x2+z2)(x2+y2)(y2+z2)=(x+y)2-2xy×(x+z)2-2xz×(y+z)2-2yz--之后不清楚了

已知(x-2)2+|y+1|=0,求5xy2-[2x2y-(3xy2-2x2y)]的值.

原式=5xy2-2x2y+3xy2-2x2y=8xy2-4x2y,∵(x-2)2+|y+1|=0,∴x-2=0,y+1=0,即x=2,y=-1,则原式=16+16=32.

已知(z-x)∧2-4(x-y)(y-x)=0求x+z-2y+8的值

(z-x)²-4(x-y)(y-z)=0z²-2xz+x²-4xy+4y²+4xz-4yz=0z²+x²+4y²+2xz-4xy-

已知X2+Y2+4=2X+XY+2Y,则X2Y的值是多少?

由题意得(x-2)平方+(y-2)平方+(x-y)平方=0,故x=y=2,故x平方y=8

化简求值:2(x2y+xy)-3(x2y-xy)-4x2y,其中x=-1,y=1.

原式=2x2y+2xy-3x2y+3xy-4x2y=-5x2y+5xy,当x=-1,y=1时,原式=-5×(-1)2×1+5×(-1)×1=-5-5=-10.

已知4x-3y+z=0,x+2y-8z=0,xyz不等于0,求x+y-z/x-y+2z的值

4x-3y+z=0(1)x+2y-8z=0(2)(1)-(2)×4得-11y+33z=0∴y=3z把y=3z代入(2)得x=2z把x=2z,y=3z代入x+y-z/x-y+2z得原式=(2z+3z-z

已知x,y,z满足2x-y+4z=8,x-2y-z=7,求x-y+z的值.要2种方法

方法一:整理为:2x-y=8-4z①x-2y=7+z②①×2-②得3x=9-9zx=3-3z①-②×2得3y=-6-6zy=-2-2z∴x-y+z=3-3z+2+2z+z=5方法二:2x-y+4z=8

1 已知想x,y,z满足2x-y+4z=8,x-2y-z=7,求x-y+z的值

2x-y+4z=8①x-2y-z=7②①+②得3x-3y+3z=15∴x-y+z=5因为小明得到正确的解x=4y=-2所以4a-2b=26因为小刚写错c得到x=7y=3说明此解满足第一个方程式所以7a

已知x+2y=5,xy=1.则2x2y+4xy2=______.

∵x+2y=5,xy=1,∴2x2y+4xy2=2xy(x+2y)=2×1×5=10,故答案为:10.