z=x^2 2Y^2 4X-8Y 2求极值

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z=x^2 2Y^2 4X-8Y 2求极值
若x2+y2+z2=(x+y+z)2,且x,y,z均不为零,则x+y+z/xyz=?

解题思路:由已知可得1/x+1/y+1/z=0,如当x=1,y=-2时,z=-2,此时所求代数式的值为:-3/4;而而当x=1,y=2时,z=-(2/3)时,此时所求代数式的值为:-7/4.故所求代数

(x+y-z)(x-y+z)=

[x+(z-y)][x-(z-y)]=x-(z-y)记得采纳啊

已知x、y、z满足x2-4x+y2+6y+z+1

x2-4x+y2+6y+z+1+13=(x-2)2+(y+3)2+z+1=0,∴x-2=0,y+3=0,z+1=0,即x=2,y=-3,z=-1,则(xy)z=(-6)-1=-16.

已知x2-4x+y2+6y+z−3

∵x2-4x+y2+6y+z−3+13=0,∴(x-2)2+(y+3)2+z−3=0,∴x-2=0,y+3=0,z-3=0,解得x=2,y=-3,z=3,∴(xy)z=[2×(-3)]3=-216.

已知x+y-z=0,2x-y-8z=0,且xyz不等于0,则x2+y2+z2/(xy+yz+zx)等于

把z看成已知数,解3x-4y-z=02x+y-8z=0,得x=3z,y=2z原式=(9z^2+4z^2+z^2)/(6z^2+2z^2+3z^2)=14/11

c语言简单的计算题设X=5,Y=10,Z=8 球下列各式的值1 X+=Y2 X%=Z3 Y=X--+Z*24 Z+=Y+

以单式来考虑,执行各式计算后:1.x=10;2.x=5;3.y=21,x=4;4.z=23,y=11,x=4

已知x2+y2+z2-2x+4y-6z+14=0,则x+y+z=______.

∵x2+y2+z2-2x+4y-6z+14=0,∴x2-2x+1+y2+4y+4+z2-6z+9=0,∴(x-1)2+(y+2)2+(z-3)2=0,∴x-1=0,y+2=0,z-3=0,∴x=1,y

2x+y+z=4 x+2y+z=8 x +y+2z=24

x=-5y=-1z=15需要过程的话再H我再问:帮我再解一道题,谢谢x+2y=3y+2z=4z+2x=5需要过程

已知x+y+z=1,x2+y2+z2=2,x3+y3+z3=3,求xy(x+y)+yz(y+z)+zx(z+x)的值

∵(x+y+z)(x²+y²+z²)=x³+y³+z³+x²(y+z)+y²(x+z)+z²(x+y)∴1*2

1.已知x2+y2+z2-2x+4y-6z+14=0,求x+y+z的值.

1.(x-1)^2+(y+2)^2+(z-3)^2=0则x=1,y=-2,z=3x+y+z=22.(3a-2b)(a+b)=0则a=-b或a=2/3×b则a/b-b/a-(a^2+b^2)/ab=(a

因式分解X2(Y+Z)+Y2(Z+X)+Z2(X+Y)-(X3+Y3+Z3)-2XYZ

如果你的X2是x的平方,X3是x的三次方那么答案是:-(x-y+z)*(x-y-z)*(x+y-z)

已知xyz=1,x+y+z=2,x2+y2+z2=16,求1/x+y+1/y+z+1/x+z

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已知x2+4y2+z2-2x+4y-6z+11=0 求x+y+z的值

/>x^2+4y^2+z^2-2x+4y-6z+11=0(x²-2x+1)+(4y²+4y+1)+(z²-6z+9)=0(x-1)²+(2y+1)²+

已知x,y,z满足x/(y+z)+y/(z+x)+z/(x+y)=1,求代数式x2/(y+z)+y2/(x+z)+z2/

x/(y+z)+y/(z+x)+z/(x+y)=1所以x/(y+z)=1-[y/(z+x)+z/(x+y)]y/(z+x)=1-[x/(y+z)+z/(x+y)]z/(x+y)=1-[x/(y+z)+

已知实数x,y,z满足x/(y+z)+y/(z+x)+z/(x+y)=1,求x2/(y+z)+y2/(z+x)+z2/(

等于0.x/(y+z)=1-[y/(z+x)+z/(x+y)]y/(z+x)=1-[x/(y+z)+z/(x+y)]z/(x+y)=1-[x/(y+z)+y/(z+x)]x2/(y+z)+y2/(z+

已知x+y+z=1,xy+yz+zx=2,xyz2,求x2(y+z)+y2(z+x)+z2(x+y)的值

x+y+z=1xy+yz+zx=21*2=(x+y+z)(xy+yz+zx)=x(xy+yz+zx)+y(xy+yz+zx)+z(xy+yz+zx)=x²y+xyz+zx²+xy&

X+Y+Z=?

X+Y+Z

如果x2-4x+y2+6y+z+2

∵(x-2)2+(y+3)2+z+2=0,∴x-2=0,y+3=0,z+2=0,解得x=2,y=-3,z=-2,∴(xy)z=(-6)-2=136.

高分急求x2+y2+z2+2x+2y+2z+14=0,求x+y+z=?

无数的解把原式化简后为(x+1)^2+(y+1)^2+(z+1)^2=11这个方程是以(-1,-1,-1)为球心,半径为根号11的球面方程.如果是圆的方程,x+y都会有无数的解.对于球的方程更是如此,

已知3x-4y-z=0,2x+y-8z=0求x2+y2+z2/xy+yz+2zx的值

3x-4y-z=0,2x+y-8z=0令z=13x-4y=1(1)2x+y=8(2)(2)*4+(1)11x=33x=3,y=2x2+y2+z2/xy+yz+2zx=(9+4+1)/(6+2+6)=1