已知x y=4,xy=1,求代数式(x的平方 1)(y的平
来源:学生作业帮助网 编辑:作业帮 时间:2024/05/15 20:27:43
令F(XY)=1/XY+XY,当XY=1的时候,F(XY)=2,最小.(可由函数图形象得出).XY趋于正无穷大的时候F(XY)趋于正无穷大,XY无限趋于零的时候F(XY)趋于正无穷大.所以XY越接近1
x2-xy=-3①,2xy-y2=-8②,①×2+②×3得:2x2-2xy+6xy-3y2=-6-24=-30,则2x2+4xy-3y2=-30.
原式=3xy+6y-xy+6x=2xy+6(x+y)=2*(-2)+6*4=24-4=20
此题应该抄错了,应该是遗漏了一个x,∵xy/(x+y)=2∴1/x+1/y=1/2(3x-5xy+3y)/(-x+3xy-y)=(3x-5xy+3y)/(-x+3xy-y)[分子分母同除以xy,得]=
(x+2)^2+|y+1|=0x=-2,y=-15xy²-{2xy²-[3xy²(4xy²-2x²y)]}=5xy²-2xy²+3
(-2xy+2x+3y)-(3xy+2y-2x)-(x+4y+xy)=-6xy+3x-3y=-6×(-2)+3×1=15
5xy+4x+7y+6x-3xy-4xy+3y=5xy-3xy-4xy+4x+6x+7y+3y=(5-3-4)xy+(4+6)x+(7+3)y=-2xy+10x+10y=-2xy+10(x+y)因为x
解(x+1)平方+/y-1/=0∴x+1=0,y-1=0∴x=-1,y=1∴2(xy-5xy平方)-(3xy平方-xy)=(2xy+xy)+(-10xy平方-3xy平方)=3xy-13xy平方=3×(
3xy-[2xy-2(xy-2分之3xy)+xy]+3xy=6xy-[2xy-2xy+3xy+xy)=6xy-4xy=2xy=2×3×3分之1=2
1、已知2x²+xy=10,3y²+2xy=6,求4x²+8xy+9y²的值为?分析:通过观察,可以把8xy拆成2xy+6xy,分别于剩余的两项组合,并提取公因
=5xy+2x-3y+2xy-5x=7xy-3x-3y=7xy-3(x+y)x+y=1,xy=-6代入7*(-6)-3*1=-45
2x^2+2y^2=2(x+y)^2-4xy=14-8=6[x-y]^2=(x+y)^2-4xy=7-8=-1
把已知两式相加结果为13
3(xy+2y)-(xy-6x)=3xy+6y-xy+6x=2xy+6(x+y)=2×(-2)+6×4=-4+24=20
已知X+Y=3.xy=-5(1)x²+y²,(2)x²-xy+y²(3)x-yx^2+y^2=(x+y)^2-2xy=3^2-(-5)=9+5=14x^2-xy
xx+2xy-yy=-3两式相加即可
xy+1/xy>=2√(xy*1/xy)=2(当xy=1/xy即xy=1时取等号)x/y+y/x>=2√(x/y*y/x)=2(当x/y=y/x即x=y取等号)当x=y=1时可以同时满足两项的等号要求
1.若将多项式X2+2KXY+X-15不含XY项,则K3-1=?∵多项式X2+2KXY+X-15不含XY项则k=0∴K3-1=-12.已知XY=-2,X-Y=3,求(X+Y)×(X-Y)-Y2+(X-
∵(x+y)^2-(x-y)^2=(2a)^2-(4b)^2=4xy∴xy=a^2-4b^2
(-2xy+2x+3y)-(3xy+2y-2x)-(x+4y+xy)=-2xy+2x+3y-3xy-2y+2x-x-4y-xy=-6xy+3x-3y=-6*(-2)+3*1=15不懂可追问,有帮助请采