已知x>2y>0,2x^2-3xy-2y^2=1,求x 3y x^2 y^2-搜答案-搜狗做题网

(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

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)=

2x-3y=0(1)3x-y-1=0(2)由（2）得y=3x-1(3)把y=3x-1代入(1)得2x-9x+3=0∴x=3/7把x=3/7代入（3）得y=2/7∴x=3/7y=2/7

75＝(2x+3y)(3x+2y)　　＝6x＾2＋13xy＋6y＾2　　＝6（x＋y）＾2＋xy＞＝24xy＋xy＝25xyxy＜＝3x＋y＞＝2vxy＝2v3最小值2v3再问：6（x＋y）＾2＋xy

:|x+二分之一|+(y-3)的平方=0∴x+1/2=0y-3=0∴x=-1/2y=3(3x+2y)的平方-2(x-y)(x+y)+3(x+y)(x-2y)=9x²+12xy+4y²

4x-2y=0→y=2x,把所有的y都用2x替代.结果是-1/7

x-y-3绝对值+(2x+2y+10)的平方=0X-Y-3=0X-Y=32X+2Y+10=0X+Y=-5(x+y)(x-Y)=3X(-5）=-15

x=3y再答：带入再答：3.5

3x²+xy-2y²=0(x≠0,y≠0),3+y/x-2y^2/x^2=0,假设y/x=t2t^2-t-3=0(2t-3)(t+1)=0t=3/2,t=-1x/y-y/x-x&s

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

2x=2-3yx>0则2x>0所以2-3y>0y

你直接把Y=2X带进式子里面去啊.

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

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：{

/3x-2y/-/3y-2x/=3x-2y-2x+3y=x+y

2x+y/x^2-2xy+y^2)*(x-y)=2x+y/(x-y)^2*(x-y)=2x+y/x-yx-3y=0.x=3y将x=3y带入2x+y/x-y=6y+y/3y-y=7/2（二分之七）

x=3y代入(2x+y)/(x^2-2xy+y^2)*(x-y)=7y/(9y^2-6y^2+y^2)*(2y)=7/2

x-3y=0x=3y原式=(2x+y)(x-y)/(x²-2xy+y²)=(2×3y+y)(3y-y)/[(3y)²-2×3y×y+y²]=7y×2y/(9y&

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－

∵x^2-3y^2=2xy∴x^2-2xy-3y^2=0∴（x+y）（x-3y）=0∵x>0,y>0∴x-3y=0∴x=3y∴x+2y/x-y=3y+2y/3y-y=2y+2/3或=2/3(x+1)如