y xy-x^3y^3=0

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y xy-x^3y^3=0
已知x-3y=0,求(2x+y)/(x^2-2xy+y^2)X(x-y)

(2x+y)/(x^2-2xy+y^2)X(x-y)=(2x+y)/(x-y)²*(x-y)=(2x+y)/(x-y)x-3y=0,x=3y(2x+y)/(x-y)=(6y+y)/(3y-y

若正数x,y满足2x+y-3=0,则x+2yxy的最小值为(  )

∵正数x,y满足2x+y-3=0,∴3=2x+y.∴x+2yxy=13(2x+y)(1y+2x)=13(5+2xy+2yx)≥13(5+22xy•2yx)=3,当且仅当x=y=1时取等号.则x+2yx

已知x和y满足2x+3y=5,则当x=4时,代数式3(xXx)+12xy+(yXy)的值是( )

2x+3y=53y=5-2xy=(5-2x)/33x^2+12xy+y^2=3x^2+12x(5-2x)/3+(5-2x)^2/9x=4时=48-48+1=1

x>1,y>0,且满足xy=x^y,x/y=x^3y,求x+y

x=4,y=0.5,x+y=4.5(与人家的做法一样……)(1)解题思路是以S3为基准,用S3表示出S1,S2,S4即可.在三角形BCD中有:S2/S3=DF/CF,故S2=(DF/CF)S3;同理,

若3x-4y=0,则x/y=______,(x-y)/y=______,(3x+2y)/(2x+3y)=_____.

3x=4Y.X/Y=4/3,x-y)/y=(X/Y)-1=1/3,(3x+2y)/(2x+3y)=(4Y+2y)/(8/3y+3y)=18/17(因为3x=4Y,2x=8/3y)再问:若3X-4Y=0

已知x/5=y/3,则(x/x+y)+(y/x-y)-(yxy/xxx-yxy)

y=3x/5原式=x/(x+3x/5)+(3x/5)/[x-3x/5]-(9x^3/25)/(x^3-9x^3/25)=8/3-3/2-9/16=29/48

X+y=4,Xy=-12 求(1)XxX+yxy (2)XxXxy+Xxyxy

(1)XxX+yxy=(x+y)^2-2xy=4^2+2*12=16+28=44(2)XxXxy+Xxyxy=xy*(x+y)=4*(-12)=-48不懂可追问,有帮助请采纳,谢谢!

已知x.x+y.y-6x-8y+25=0,求3x.x+5y的值

可以得出x.x+y.y-6x-8y+25=x.x-6x+9+y.y-8y+16=(x-3).(x-3)+(y-4).(y-4)=0因为(x-3).(x-3)>=0,(y-4).(y-4)>=0所以x=

已知X-Y/X+Y=3,求代数式2(x-y)/X+Y-3X+Y/X+Y

X+Y分之X-Y等于3x=-2yX+Y分之2(x-y)减X+Y分之3X+Y=(-x-3y)/(x+y)=1

设x,y满足约束条件x>=0 y>=x 4x+3y

平面区域的三个顶点为O(0,0),A(0,14/3),B(2,2)(y+1)/(x+2)即是区域内一点P(x,y)与点C(-2,-1)连线的斜率.由数形结合可知1/2≤kPC≤17/6.所以(y+1)

已知x-y/x+y=3,求代数式5(x-y)/x+y-x+y/2(x-y)

因为(x-y)/(x+y)=3,则(x+y)/(x-y)=1/3则5(x-y)(x+y)-(x+y)/2(x-y)=5*3-1/(3*2)=15-1/6=89/6

如果分式3x-6y/x+y=0,那么x,y 应满足 A、x=2y B、x≠-y C、x=2y且x≠-y D、x=2y且y

c∵x+y≠0∴x≠-y∵3x-6y/x+y=0∴3x-6y=0∴x=2y∴x=2y且x≠-y

已知3x^2+xy-2y^2=0,求{(x+y)/(x-y)+4xy/(y^2-x^2)}/{(x+3y)*(x-y)}

3x^2+xy-2y^2=0推出(3x-2y)(x+y)=0推出x=-y或x=(2/3)y{(x+y)/(x-y)+4xy/(y^2-x^2)}/{(x+3y)*(x-y)}/x^2-9y^2推出:{

x^3y+y^3-2x=0求导,

3x^2y+x^3y'+3y^2y'-2=0=>(x^3+3y^2)y'=2-3x^2y∴y'=(2-3x^2y)/(x^3+3y^2)

若3x-5y=0,则x+y/x=(),x-y/y=(),2x-3y/2x+3y=( )

3x-5y=0,则x+y/x=(8/5),x-y/y=(2/3),2x-3y/2x+3y=(1/19)因为3x-5y=0所以3x=5y设x=5,y=3,可以解得3x-5y=0,则x+y/x=(8/5)

已知|3-y|+|x+y|=0,求x+yxy

|3-y|+|x+y|=0,且|3-y|≥0,|x+y|≥0,所以3-y=0,x+y=0,所以y=3,x=-3.所以x+yxy=-3+3-3×3=0-9=0.答:x+yxy的值为0.

在分式2x+3yxy中,x、y的值都扩大到原来的2倍,则分式的值(  )

分式2x+3yxy中,x、y的值都扩大到原来的2倍,则分式的值缩小为原来的12,故选:B.

y=x(16-3x) (0

y=1/3*3x(16-3x)

已知|3x-y|+|x+y|=0,求x-y除以x*y的值.

绝对值项恒非负,两绝对值项之和=0,两绝对值项分别=03x-y=0(1)x+y=0(2)(1)+(2)4x=0x=0,代入(2)y=-x=0(x-y)/(xy)无意义,因此题目错了.

已知x,y满足x²+y²-4x+6y+13=0则(3x+y)²-(3x+y)(3x-y)的

x²+y²-4x+6y+13=0x²-4x+4+y²+6y+9=0(x-2)²+(y+3)²=0x=2,y=-3代入即可得出答案(3x+y)