x2-y2=24,x y=6,求代数式5x 3y

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x2-y2=24,x y=6,求代数式5x 3y
已知x2+y2-4x+6y+13=0,求x2-6xy+9y2的值.

∵x2+y2-4x+6y+13=(x-2)2+(y+3)2=0,∴x-2=0,y+3=0,即x=2,y=-3,则原式=(x-3y)2=112=121.

已知x2-xy=-3,2xy-y2=-8,求2x2+4xy-3y2的值.

x2-xy=-3①,2xy-y2=-8②,①×2+②×3得:2x2-2xy+6xy-3y2=-6-24=-30,则2x2+4xy-3y2=-30.

已知X2+Y2+8X+6Y+25=0 求代数式X2++XY+4Y2分之X2-4Y2 减X+2Y分之X的值

X2+Y2+8X+6Y+25=0x²+8x+16+y²+6y+9=0(x+4)²+(y+3)²=0∴x+4=0y+3=0x=-4y=-3X2+4XY+4Y2分之

X2+Y2+8X+6Y+25=0 求代数式(x2-4y2/x2+4xy+4y2)-x/x+2y

X2+Y2+8X+6Y+25=0x^2+y^2+8x+6y+25=0x^2+8x+16+y^2+6y+9=0(X+4)^2+(y+3)^2=0x=-4y=-3(x^2-4y^2)/(x^2+4xy+4

已知x2+xy=-3,xy+y2=7,试求:x2+2xy+y2的值.

∵x2+xy=-3,xy+y2=7,∴(x2+xy)+(xy+y2)=-3+7=4,即x2+2xy+y2=4.

已知x2-xy=21,xy-y2=-12,分别求式子x2-y2与x2-2xy+y2的值.

x2-y2=(x2-xy)+(xy-y2)=21-12=9;x2-2xy+y2=(x2-xy)-(xy-y2)=21+12=33.

已知x2+y2=7,xy=-2,求5x2—3xy—4y2—11xy—7x2+2y2的值

5x2—3xy—4y2—11xy—7x2+2y2=-2x2-2y2-14xy=-2(x2+y2)-14xy=-14+28=14

已知x2+y2 =7,xy=-2.求5x2 -3xy-4y2 -11xy-7x2 +2y2

x+y=7xy=27^2=(x+y)^2=x^2+2xy+y^2=x^2+y^2+2*2x^2+y^2=45(1)y=7-xx(7-x)=2x^2-7x+2=0x=(7+41^(1/2))/2或x=(

已知x2+y2-10x-6y+34=0,求(x-y/x+y)2÷x2-y2/xy×x2+2xy+y2/x2-xy 的值.

你好x²+y²-10x-6y+34=0(x-5)²+(y-3)²=0每项都大于等于0,只有等于0时上式才成立,所以x=5y=3(x-y/x+y)²÷(

已知X2+y2=7,Xy=-2,求多项式5X2一3Xy-4y2-11Xy-7X2+2y2的值.

 再问:你确定吗?再答:我保证再答:亲,那一步不明白可以问再问:你省略了一步吧!再答:能看明白吗再问:no再答: 再答:是不是这部再问:那么第一步是怎么得来的呢?再答:第一步不是你

已知2x=3y,求xy/(x2+y2)-y2/(x2-y2)的值

已知2x=3y,求xy/(x^2+y^2)-y^2/(x^2-y^2)的值2x=3y-->x=(3/2)yx^2=(9/4)y^2xy/(x^2+y^2)-y^2/(x^2-y^2)==(3/2)y*

x2-y2=xy,xy不等于0求x2/y2=y2/x2

是求x2/y2+y2/x2=吗x2-y2=xy则x/y-y/x=1两边平方得x^2/y^2-2+y^2/x^2=1所以x^2/y^2+y^2/x^2=3

已知x2+xy=4,xy+y2=12,求代数式x2-y2与x2+2xy+y2的值各为多少

X2+xy-(xy+y2)=4-12x2+xy-xy-y2=-8x2-y2=-8x2+xy+xy+y2=4+12x2+2xy+y2=16

若X2+Y2-2X-6Y+10=0 ,求(x2-y2)/xy的值

10拆成1+9X2-2X+1+Y2-6Y+9=0(X-1)2+(Y-3)2=0平方大于等于0,相加等于0,若有一个大于0,则另一个小于0,不成立.所以两个都等于0所以X-1=0,Y-3=0X=1,Y=

已知X2-2x+y2+6y+10=0,求(x2-2xy)/(xy+y2)的值

x²-2x+y²+6y+10=0,变换得(x-1)²+(y+3)²=0,∴x=1,y=-3∴(x2-2xy)/(xy+y2)=(1²-2*(-3))/

已知xy满足x2+y2-6x+2y+10=0,求立方根号x2-y2的值

条件变换:(x-3)^2+(y+1)^2=0即:y+1=0x-3=0所以:立方根号x2-y2=2

X2+Y2+XY=2,求X2+Y2-XY取值范围

x^2+xy+y^2=2≥3xyxy≤2/3-2xy≥-4/3,x^2-xy+y^2=x^2+xy+y^2-2xy=2-2xy≥2/3当且仅当x=y时取等号再问:>=2/3且

已知x2-xy=3,xy-y2=-5,试求代数式x2+2xy-3y2的值.

x2+2xy-3y2=x2-xy+3xy-3y2=x2-xy+3(xy-y2),∵x2-xy=3,xy-y2=-5,∴x2+2xy-3y2=3+3×(-5)=-12.

已知2x2+xy=6,3y2+2xy=9,求4x2+8xy+9y2的值为______.

∵4x2+8xy+9y2=4x2+2xy+9y2+6xy=2(2x2+xy)+3(3y2+2xy),2x2+xy=6,3y2+2xy=9,∴2(2x2+xy)+3(3y2+2xy)=2×6+3×9=3

已知x2+4y2+x2y2-6xy+1=0,求 x4-y4/2x-y 乘 2xy-y2/xy-y2 除以(x2+y2/x

因为x²+4y²+x²y²-6xy+1=0(x²-4xy+4y²)+(x²y²-2xy+1)=0(x-2y)²