若z=x^2 3xy

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若z=x^2 3xy
1.x-z/xy - 2ab/xy

1=(x-z-2ab)/xy2=(a²-2ab+b²)/a-b=(a-b)²/a-b=a-

若:X^2-4X+Y+6Y+√ Z-3+13=0求(xy)^z的值

题目出错了吧应该是x^2-4x+y^2+6y+√(z-3)+13=0即(x-2)^2+(y+3)^2+√(z-3)=0(xy)^z=(2*(-3))^3=-216啊你也去想想吧

若xy-z不等于0,且(y+x)/x=(z+x)/y=(y+x)/z,求[(y+z)(z+x)(x+y)]/xyz的值?

设(y+z)/x=(z+x)/y=(y+x)/z=k则y+z=kx,z+x=ky,y+x=kz三式相加2(x+y+z)=k(x+y+z)故当x+y+z=0时,k=-1,但xy-z不等于0,可知x+y+

若x,y,z>0 则根号(x^2+y^2+xy)+根号(y^2+z^2=yz)>根号(x^2+z^2+xz)

x²+y²+xy=x²+y²-2xycos120度同理y²+z²+yz=y²+z²-2yzcoa120度x²+

若3/x=2/y=5/z则xy+yz+zx/x^2+y^2+z^2=?

若3/x=2/y=5/z,则x/3=y/2=z/5,设x/3=y/2=z/5=K,则x=3K,y=2K,z=5K将其代入上式,得6k2+10k2+15k231k2-------------------

若xyz适合x+y=6,z方=xy-9,则z=?

y=6-x所以z²=6x-x²+9(x-3)²+z²=0所以x-3=0,且z=0所以z=0

若实数x,y,z满足x+y+z=5,xy+yz+xz=3,求z的最大值

∵x+y+z=5∴x=5-y-z∵xy+yz+xz=3∴y^2+(z-5)y+(z^2-5z+3)=0又∵y,z是实数,∴△=(z-5)^2-4(z^2-5z+3)=(z+1)(-3z+13)≥0∴-

若x-y=6,xy=-8,求代数式(x+y+z)²+(x-y-z)(x-y+z)-2·z(x+y)的值

(x+y+z)²+(x-y-z)(x-y+z)-2·z(x+y)=(x+y)²+2z(x+y)+z²+(x-y)²-z²-2z(x+y)=(x+y)&

若x,y,z适合x+y=6,z^2=xy-9,则的值是

求z的值吗y=6-xz²=xy-9=x(6-x)-9=-x²+6x-9z²=-(x-3)²z²+(x-3)²=0所以z=0,x-3=0解得z

若2x²+2xy+y²-4x+z-2√z-3 +2=0,求xy+yz+xz的值.

2x²+2xy+y²-4x+z-2√z-3+2=0对其化简:(x²+2xy+y²)+(x²-4x+4)+(z-2√z-3-2)=0(x+y)²

若2x²+2xy+y²-4x+z-2√z-3 +2=0,求xy+yz+xz的值

可分解为(x+y)²=0.(x-2)²=0)²=0解得x=-yx=2√z-3=1解得x=2y=-2z=4xy=-4yz=-8xz=8

若x/3=y/2=z/5,且xy+yz+zx=93,求9x*x+12y*y+2z*z的值.

xy+yz+zx=93中的y,z全用x代替可以得到2x^2/3+10x^2/9+5x^2/3=93∴x^2=27同理y^2=12z^2=75∴9x*x+12y*y+2z*z=9*27+12*12+2*

若2X-3y-z=0,x+3y-14(z≠0)那么(x平方+3xy)÷(y平方+z平方)等于

2X-3y-z=0(1)x+3y-14z=0(2)(1)+(2)3x-15z=0x=5z代入(1)y=3z结果代入(x^2+3xY)÷(y^2+z^2)=(25z^2+3*5z*3z)÷(9z^2+z

若xy=x+y,yz=2y+2z,xz=3x+3z,求x,y,z.

xy=x+y,yz=2y+2z,xz=3x+3z1/x+1/y=1(1)1/y+1/z=1/2(2)1/x+1/z=1/3(3)(1)-(2)1/x-1/z=1/2(4)(3)+(4)2/x=5/6x

若x+y+z=6,xy+yz+zx=11,x^3+y^3+z^3-3xyz

(x+y+z)²=6²x²+y²+z²+2(xy+yz+zx)=36x²+y²+z²=36-22=14x³+y

若x/3=y=z/4,且xy+xz+yz=76,求2x*x+12y*y+9z*z的值

xy+xz+yz=76,x/3=y=z/4所以,19x^2/9=76,x^2=362x*x+12y*y+9z*z=58x^2/3=58*12=696

若x+y=8,xy+z平方=-16,求x+y+z的值

因为x+y=8,所以x=8-y所以y(8-y)+z平方+16=0又因为z平方=-16-xy,所以y(8-y)-16-xy=0即8y-y平方-16-xy=0,所以(y-4)平方+xy=0所以z平方=(y

若|x-3|+|y+z|+|2z+1|=0,求xy-yz的值

|x-3|+|y+z|+|2z+1|=0则|x-3|=0x=3|y+z|=0y=-z=1/2|2z+1|=0z=-1/2xy-yz=3x1/2-1/2x(-1/2)=7/4