x y=5,x-y 2z=5,x 3y-z=3,mx-2y z=0则m=_

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已知x+y=10,xy=24,求x3+y3-x2y-xy2的值

x3+y3-x2y-xy2=(x+y)(x2-xy+y2)-xy(x+y)=(x+y)(x2-2xy+y2)=(x+y)(x2+2xy+y2-4xy)=(x+y)[(x+y)2-4xy]=10×(10

已知x+y=1,求x3+y3+3xy的值.

∵x+y=1,∴x3+y3+3xy=(x+y)(x2-xy+y2)+3xy=x2+y2+2xy=(x+y)2=1.

已知两个有理数xy满足等式x3+2y+√5*y=17-5√5求√2(x-y)的值

x³+2y+√5*y=17-5√5xy是有理数则,x³+2y=17√5*y=-5√5解得,x=3,y=-5√2(x-y)=√2(3+5)=8√2如果x,y也在根号下,则√[2(x-

已知x+y=1,则代数式x3+3xy+y3的值是______.

x3+3xy+y3=(x+y)(x2-xy+y2)+3xy,=(x2-xy+y2)+3xy,=(x+y)2-3xy+3xy,=1.

已知x-y=1/xy=3.求x3次方y-2x2y2+xy3

x3次方y-2x2y2+xy3=xy(x²-2xy+y²)=xy(x-y)²=3x3²=27如果本题有什么不明白可以追问,再问:=xy(x2-2xy+y2)=x

求函数f(x,y)=x3-y3+3xy的极值

f'x=3x^2+3y=0-->y=-x^2f'y=-3y^2+3x=0-->y^2=xx=y^2=x^4-->x=0,1,-->y=0,-1f"xx=6x,f"yy=-6y,f"xy=3f(0,0)

计算:5x3次方y*(-3y)²-6x²y²*(-xy)

5x3次方y*(-3y)²-6x²y²*(-xy)=5x^3*y*9y^2+6x^3y^3=45x^3y^3+6x^3y^3=51x^3y^3不懂可追问,有帮助请采纳,谢

5x+(9-x)x3=35

3与(9-x)之间是乘号吗.若是则解为x=4.若不为乘号则5x+27x-3x2=35.-3x2+32x-35=0.则解为x=16+根号1511/3.或x=16-根号151/3

解方程组xy(x+y)=30 x3+y3=35

(x+y)^3=X^3+3X^2Y+3XY^2+Y^3x^2y+xy^2=303x^2y+3xy^2=90x^3+Y^3=35

X3+3X+5=7则3X3+9X-2等于多少

因为x3+3x+5=7,x3+3x=23x3+9x-2=3(x3+3x)-2=3*2-2=4

求函数f(x,y)=x3+y3-3xy的极值

f'x=3x^2-3yf'y=3y^2-3xf'x=0,f'y=0即x^2-y=0y^2-x=0消去yx^4-x=0即x(x-1)(x^2+x+1)=0x=0或1y=0或1x=y=0时f(x,y)=0

求函数的极值:f(x,y)=x3+8y3-6xy+5

求偏导另其等于0即可

x+xy+y=0 x3+x3y3+y3=12 三是次数、求解方程组

x^3+y^3+x^3y^3=12,x^3+y^3+x^3y^3+1=13,(x^3+1)(y^3+1)=13(x+1)(x^2-x+1)(y+1)(y^2-y+1)=13;x+y+xy=0,x+y+

已知X+Y=1,求X3次方+Y3次方+3XY的值

这是要立方和公式,x^3+y^3+3xy=(x+y)(x^2-xy+y^2)+3xy=x^2-xy+y^2+3xy=(x+y)^2=1

x4+5x3+5x2+5x-6=0

5开四次根号再问:详细步骤,谢谢再答:X4+5*3+5*2+5*-6=0X4+15+10-30=0X4-5=0X4=5X=5开四次根号

已知(x3)5=-a15b15.则x=( )

因为(x^3)^5=a^15b^15所以x^15=(ab)^15所以x=ab祝学习愉快!

5x-(120-x)x3.75=162.5

5x-(120-x)x3.75=162.55x-450+3.75x=162.58.75x=612.5x=70

推导公式:(x+y)(x2-xy+y2)=x3+y3.

左边=x3-x2y+xy2+x2y-xy2+y3=x3+y3=右边