若x-y=3,xy=2 求x² y²

3x*+xy-2y*=0（3x-2y）(x+y)=0那么x=2y/3或x=-yy/x=3/2或x/y=-1(x/y)-(y/x)-(x*+y*)/(xy)=(x/y)-(y/x)-(x/y+y/x)=

/>1/x-1/y=3y-x/xy=3y-x=3xyx-y=-3xy所以(2x+3xy-2y)/(x-y-2xy)=[2(x-y)+3xy]/(x-y-2xy)=[2(-3xy)+3xy]/(-3xy

1上下同除以xy,原式=(2/y-2/x-3)/(1/y-1/x-2)=6/52原式两边平方可得x平方+x平方分之一=11(2)所求式子平方,即原式的平方=x平方+x平方分之一+2=13,所以原式=正

原方程左边=（2x-y）（x+2y）=0所以x=y/2或x=-y/2将x的值分别代入到x+y/x-y得-3或-1/3

解法一:1)因(1/x)-(1/y)=3,可得:(y-x)/xy=3,得:x+3xy-y=0.2)2x+3xy-2y)/(x-2xy-y)可以进一步分解成:{x+(x+3xy-y)-Y}/{(x+3x

1/x-1/y=1/3(2x+3xy-2y)/(x-3xy-y)分子分母同除以xy：={2/y+3-2/x}/{1/y-3-1/x}={-2(1/x-1/y)+3}/{-(1/x-1/y)-3}={-

因为xy/x+y=3,所以xy=3（x+y）（1）将式子（1）代入求值式子：2x-3xy+2y/-x+3xy-y=2x-9x-9y+2y/-x+9x+9y-y=-7x-7y/8x+8y=-7/8

（1/X）-（1/Y）=3(y-x)/xy=3y-x=3xyx-y=-3xy(2X+3XY-2Y)/(X-2XY-Y)=[2(x-y)+3xy]/[(x-y)-2xy]=(-6xy+3xy)/(-3x

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：{

（4xy+12y)+[7x-(3xy+4y-x)]=4xy+12y+7x-3xy-4y+x=xy+8x+8y=xy+8(x+y)=(-2)+8*3=-2+24=22

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

(-2xy+2x+3y)-(3xy+2y-2x)-(x+4y+xy)=-2xy+2x+3y-3xy-2y+2x-x-4y-xy=-6xy+3x-3y=-6xy+3*(x-y)当时,原式=-6*1+3*

x^2+2xy-3y^2=0x^2+2xy+y^2-4y^2=0(x+y)^2=4y^2x+y=2y或x+y=-2yx=y或x=-3y因为两个正实数所以x=yx^2+xy+y^2/x^2-xy+y^2

3/5再问：详细过程呢再答：y-x=3xyx-y=-3xy代入得：(-6xy+3xy)/(-3xy-2xy)=-3/-5=3/5

xy/x+y=3即：xy=3(x+y)(2x-3xy+2y)/(-x+3xy-y)=[2(x+y)-3xy]/[3xy-(x+y)]=[2(x+y)-9(x+y)]/[9(x+y)-(x+y)]=-7

有题意得x+y-3>=0xy+x+y-2>=0因为根号x+y-3+绝对值xy+x+y-2=0则x+y-3=0xy+x+y-2=0xy=-1x+y=3x^2+y^2=11x/y+y/x=(x^2+y^2

x(x²+xy+y²)-y(x²+xy+y²)+3xy(y-x)=X^3+X^2Y+XY^2-X^2Y-XY^2-Y^3+3XY^2-3X^2Y=X^3-3X^

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

（Y－X）÷（XY）＝3可变形为Y-X=3XY（2X＋3XY－2Y）÷（X－2XY－Y）=(2X-2Y+3XY）÷(X-Y-2XY)={2（x-y)+3xy}÷(X-Y-2XY)={2(3xy)+3x

x+y=5xy（2x-3xy+2y)/(x+2xy+y）=[2（x+y）-3xy]/[(x+y)+2xy]=(2×5xy-3xy)/(5xy+2xy)=7xy/7xy=1再问：若x＋1/x＝3,求(x