若x 2y=4,9x2-4y2=-8,则3x-2y=

来源:学生作业帮助网 编辑:作业帮 时间:2024/06/06 06:07:15
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.

已知实数x、y满足x+y+xy=9,x2y+xy2=20,求x2+y2的值.

x+y+xy=9x+y=9-xyx^2y+xy^2=20xy(x+y)=20xy(9-xy)=20xy^2-9xy+20=0(xy-4)(xy-5)=0xy=4或xy=5x+y=5或x+y=4x^2+

已知x、y均为实数,且满足xy+x+y=17,x2y+xy2=66,求x2+y2

由已知:xy+x+y=17,xy(x+y)=66,可知xy和x+y是方程t2-17t+66=0的两个实数根,得:t1=6,t2=11.即xy=6,x+y=11,或xy=11,x+y=6.x2+y2=(

已知x+y=3,xy=1,求代数式①x2y+xy2;②x2+y2的值.

①x2y+xy2=xy(x+y)=1×3=3;②x2+y2=(x+y)2-2xy=32-2×1=7.

2(x2y+xy)-3(x2y+xy)-4x2y其中x=-2,y=12

原式=2x2y+2xy-3x2y-3xy-4x2y=-5x2y-xy当x=-2,y=12时,原式=-9.

如果x+y=0,xy=-7,求①x2y+xy2;  ②x2+y2.

∵x+y=0,xy=-7,∴①x2y+xy2=xy(x+y)=-7×0=0;②x2+y2=(x+y)2-2xy=14.

当x=2011,y=2012时,求代数式3x3-4x3y2+3x2y+2x2+4x3y2+2x2y-5x2-5x2y+x

化简得:9-12Y^2+6Y+4+12Y^2+4Y-10-10Y+X-Y+1=X-Y+4带入X、Y值得:=3

已知(x+3)2+▕x-y+10▏=0求代数式5x2y-【2x2-(3xy-xy2)-3x2】-2xy2-y2的值.

是不是求:5x²y-[2x²-(3xy-xy²)-3x²]-2xy²-y²再问:是再答:已知是不是(x+3)²+|x+y+10|=

若实数x,y满足x2+4y2=4x,求x2-y2的最大值和最小值

x2+4y2=4xx²-4x+4y²=0(x-2)²+4y²=40≤x≤4-1≤y≤1x2+4y2=4x得y²=(4x-x²)/4x

若x2+4y2+2x-4y+2=0求5x2+16y2的算术平方根

x²+4y²+2x-4y+2=0(x²+2x+1)+(4y²-4y+1)=0(x+1)²+(2y-1)²=0x=-1,y=1/25x

已知x.y是正整数,并且xy+x+y=23,x2y+xy2=120.求x2+y2的值

若是209,则xy=8,x+y=15,算出x,y就不是整数了,与题意不符.若是34,x,y为3,5,符合题意.

因式分解:9x2-y2-4y-4=______.

9x2-y2-4y-4,=9x2-(y2+4y+4),=9x2-(y+2)2,=(3x+y+2)(3x-y-2).

先化简,再求值:x2y-[4x2y-(xyz-x2z)-3x2z]-2xyx,其中x的倒数等于其本身,|y|=3,x2=

x=±1,y=±3,z=±2xyzz>y则0>x>z>yx=-1,y=-3,z=-2,x2y-[4x2y-(xyz-x2z)-3x2z]-2xyx=x2y-4x2y+xyz-x2z+3x2z-2xyx

已知X2+Y2+4=2X+XY+2Y,则X2Y的值是多少?

由题意得(x-2)平方+(y-2)平方+(x-y)平方=0,故x=y=2,故x平方y=8

因式分解:x2-9a2+12a-4;x2y+3xy2-x-3y;1-x2-2xy-y2;3a2+2b-2ab-3a;x2

x2-9a2+12a-4=x2-[(3a)2-2*3a*2+4]=x2-(3a-2)^2=(x+3a-2)(x-3a+2)x2y+3xy2-x-3y=xy(x+3y)-(x+3y)=(xy-1)(x+

椭圆(x2/9)+(y2/4)=1上

解题思路:椭圆解题过程:varSWOC={};SWOC.tip=false;try{SWOCX2.OpenFile("http://dayi.prcedu.com/include/readq.php?

已知X2+4y2-4x+4y+5=0 求x-y的值 已知xy=4满足x2y-xy2-x+y=56,求x2+y2的值

x²+4y²-4x+4y+5=0(x-2)²+(2y+1)²=0x-2=0x=22y+1=0y=-1/2x-y=2+1/2=5/2x²y-xy

已知x2-y2=xy,且xy≠0,求代数式x2y-2+x-2y2的值.

∵x2-y2=xy,∴原式=x2y2+y2x2=x4+y4x2y2=(x2−y2)2+2x2y2x2y2=3x2y2x2y2=3.再问:先化简2a+1/a²-1÷a²-a/a

已知x-y≠0 x2-x=7 y2-y=7 求x3+y3+x2y+xy2的值

x²-x=7y²-y=7相减x²-x-y²+y=0(x+y)(x-y)=x-yx-y≠0约分x+y=1x²-x=7y²-y=7相加x&sup

如果x+y=0,xy=-7,x2y+xy2=______,x2+y2=______.

解;∵x+y=0,xy=-7∴x2y+xy2=xy(x+y)=-7×0=0x2+y2=(x+y)2-2xy=02-2×(-7)=0+14=14.