x y=5,xxy=4,求x-y=?

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x y=5,xxy=4,求x-y=?
已知xy^2=-2,求-xy(x^2y^5-xy^3-y)的值.

-xy(x^2y^5-xy^3-y)=-(xy^2)^3+(xy^2)^2+xy^2=-(-2)^3+4-2=8+4-2=10

已知x+y=5,xy=2,求5x+4y-3x-2y+xy的值

5x+4y-3x-2y+xy=2x+2y+xy=2(x+y)+xy因:x+y=5,xy=2所以原式=2X5+2=12

已知x²+y²-2x+4y+5=0,求X^4-y^4/2x^2+xy-y²·2x-y/xy

x²+y²-2x+4y+5=0配方:(x-1)²+(y+2)²=0所以只有x-1=0且y+2=0∴x=1,y=-2∴(X^4-y^4)/(2x^2+xy-y&#

已知x+y=3,xy=1,求代数式5xy+4x+7y+6x-3xy-4xy+3y的值.

5xy+4x+7y+6x-3xy-4xy+3y=5xy-3xy-4xy+4x+6x+7y+3y=(5-3-4)xy+(4+6)x+(7+3)y=-2xy+10x+10y=-2xy+10(x+y)因为x

已知X+Y=2XY,求4X-5XY+4Y 除以X+XY+Y 的值

原式=[4(x+y)-2xy]分之[(x+y)+xy]=[4(3xy)-2xy]分之[(3xy)+xy]=10xy分之2xy=5分之1

若1/x+1/y=5,求3x+4xy+3y/x+3xy+y的值

1/x+1/y=5两边乘以xy得y+x=5xy∴x+y=5xy3x+4xy+3y/x+3xy+y=[3(x+y)+4xy]/[(x+y)+3xy]=(15xy+4xy)/(5xy+3xy)=19xy/

若(x*x+y*y)(x*x+y*y)-4x*x*y*y=0,求代数式(x*x+5xy+y*y)/(x*x+2xy+y*

(x*x+y*y)(x*x+y*y)-4x*x*y*y=(x^4-2x^2y^2+y^4)=(x^2-y^2)^2=0x^2=y^2x/y=±1(x*x+5xy+y*y)/(x*x+2xy+y*y)=

已知x,y∈R+,且x+4y+xy=5,求xy的最大值,并求xy取最大值时x、y的值.

∵x,y∈R+,且x+4y+xy=5,…(1分)∴x+4y≥24xy 即5-xy≥4xy,…(5分)∴xy+4xy-5≤0,∴(xy+5)(xy-1)≤0.∵(xy+5)>0,∴xy≤1.&

已知x>0,y>0,x+根号xy-6y=0,求4x+5根号xy-6y分之x+2根号xy

x+根号xy-6y=0(根号x-2根号y)(根号x+3根号y)=0解得根号x=2根号y即x=4y或根号y+3根号y=0不成立所以4x+5根号xy-6y分之x+2根号xy=[4y+2根号(4y*y)]/

已知X+Y=6,xy=3求代数式(5XY+4X+7Y)+(6X-3XY)-(4XY-3Y)的值

先把代数式(5XY+4X+7Y)+(6X-3XY)-(4XY-3Y)化简(5XY+4X+7Y)+(6X-3XY)-(4XY-3Y)=5XY+4X+7Y+6X-3XY-4XY+3Y=-2XY+10X+1

x-y=3,xy=5,求代数式(7xy+4x-7y)+(6x-3xy)-(3y+4xy)的值

(7xy+4x-7y)+(6x-3xy)-(3y+4xy)=7xy+4x-7y+6x-3xy-3y-4xy=10x-10y=10(x-y)=10*3=30

x+y=8,xy=-2,求(5xy+4x+7y)+(6x-3xy)-(4xy-3y)的值

(5xy+4x+7y)+(6x-3xy)-(4xy-3y)=5xy+4x+7y+6x-3xy-4xy+3y=(5xy-3xy-4xy)+(4x+6x)+(7y+3y)=-2xy+10x+10y=-2x

已知x+y=5,xy=2,求5x+4y-3y-2y+xy的值

5x+4y-3x-2y+xy=2x+2y+xy=2(x+y)+xy因:x+y=5,xy=2所以原式=2X5+2=12你抄错了应该是5x+4y-3x-2y+xy

已知x、y都是正数,且xy=4y+x+5,求xy的最小值

因为x、y都是正数,则:x+4y≥4√(xy)设:√(xy)=t,则:xy=4y+x+5≥4√(xy)+5即:t²≥4t+5t²-4t-5≥0t≤-1或t≥5因为:t=√(xy)≥

5x的平方+4xy+y的平方+2x+1=0 求xy

5x²+5xy+y²+2x+1=04x²+y²+4xy+2x+x²+1=0(2x+y)²+(x+1)²=0得{2x+y=0---①

若1/x-1/y=3,求5x+2xy-5y/x-4xy-y的值

得y-x=3xyx-y=-3xy原式=-15xy+2xy/-3xy-4xy=-13/-7=13/7

已知x,y>0 2x+y+3=xy 求5x+4y最小值

2x+y+3=xy,①若x=1,则y不存在,此时5x+4y无最值;②若x≠1,则y=(2x+3)/(x-1),M=5x+4y=5x+(8x+12)/(x-1)=(5x²+3x+12)/(x-

已知xy^2=-2 求-xy(x^2y^5-xy^3-y)

原式=-xy²(x²y^4-xy²-1)∵xy²=-2原式=2((-2)²-(-2)-1)=10

设xyz=1,求xxy+x+1+yyz+y+1+zzx+z+1

原式=xxy+x+1+xyxyz+xy+x+zzx+z+1,=xxy+x+1+xy1+xy+x+zxyzx•xy+zxy+xy,=xxy+x+1+xyxy+x+1+1xy+x+1,=xy+x+1xy+