2x2-3xy-3y2=0

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2x2-3xy-3y2=0
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+xy=3,xy+y2=-2,则2x2-xy-3y2的值为(  )

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

已知2x-3*根号(xy)-2y=0(x>0),则x2+4xy-16y2除以2x2+xy-9y2的值是多少?

已知2x-3*根号(xy)-2y=0(x>0),则x2+4xy-16y2除以2x2+xy-9y2的值是多少?2x-3*根号(xy)-2y=0(根号X-2根号Y)(2根号X+根号Y)=0根号X-2根号Y

如果M=3x2-2xy-4y2,N=4x2+5xy-y2,则8x2-13xy-15y2等于(  )

A、原式=-6x2-19xy-5y2;B、原式=2x2-9xy-7y2;C、原式=x2-16xy-10y2;D、原式=8x2-13xy-15y2.故选D.

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

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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*

已知x2+xy=3,xy+y2=-2,则2x2-xy-3y2=______.

有x2+xy=3可得,2x2+2xy=6  (1),有xy+y2=-2得,3xy+3y2=-6 (2),根据分析,(1)-(2)可得,2x2-xy-3y2=6-(-6)=

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.

解一个二元二次方程x2-4xy+3y2=0x2=10-y2

x2-4xy+3y2=0因式分解(x-3y)(x-y)=0所以x=3y或者x=y带入第二个式子得到两组解x=3,y=1或者x=y=根号下5

已知非零实数x,y满足:x2+xy-2y2=0,求(x2+3y+y2)/(x2+y2)的值

由x2+xy-2y2=0,x2-y2+xy-y2=0,(x+y)(x-y)+(x-y)y=0,(x-y)(x+2y)=0.得x-y=0或者x+2y=0.1)当x-y=0,x=y.(x2+3y+y2)/

解方程组x2+y2=20,2x2-3xy-2y2=o

由2x²-3xy-2y²=0得2-3(y/x)-2(y/x)²=0(2+y/x)*(1-2y/x)=0得y/x=1/2或-2即y=1/2x或y=-2x代入x²+

已知2x2+xy-3y2=0(y≠0),求xy

∵2x2+xy-3y2=0(y≠0),即(2x+3y)(x-y)=0,∴2x+3y=0,x-y=0,解得:x=-32y,x=y,当x=-32y时,xy=-32;当x=y时,xy=1.

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

∵x2+y2=7,xy=-2,∴7x2-3xy-2y2-11xy-5x2+4y2,=(7x2-5x2)+(4y2-2y2)-(3xy+11xy),=2x2+2y2-14xy,=2(x2+y2)-14x

已知6x2减去xy减去15y2等于0,求分式2x2减去3xy减去3y2分之x2减去2xy+4y2

6x2-xy-15y2=(2x+3y)(3x-5y)=0,所以x=-3/2y或x=5/3y

已知:x=3,y=-5,x2-2xy+y2/x2-y2的值是

x²-2xy+y²/x²-y²=(x-y)²/(x-y)(x+y)=(x-y)/(x+y)因为x=3,y=-5,所以(3-(-5))/(3+(-5))

已知X2次方+XY=3,XY+Y2次方=-2,求下例值:2X2次方-XY-3Y2次方

0.X^2+XY=3;(1)XY+Y^2=2;(2)2*(1)-3*(2)=2*X^2-XY-3*Y^2=2*3-3*2=0