已知[3x-6] (y 3)=0求3y 2y的值
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x3+y3=100(x+y)(x^2-xy+y^2)=100因x+y=1所以x^2-xy+y^2=100(x+y)^2-3xy=1001-3xy=100xy=-33x^2+y^2=(x+y)^2-2x
∵y3-z3=(y-z)(y2+yz+z2)(立方差公式)又∵y3-z3-y2-yz-z2=0∴(y-z-1)(y2+yz+z2)=0(提取公因式)∵y、z是正实数∴y-z-1=0即y-z=1∵x-y
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
∵x+y=1,∴x3+y3+3xy=(x+y)(x2-xy+y2)+3xy=x2+y2+2xy=(x+y)2=1.
∵x+y+z=0,∴z=(-x-y)x^3+y^3+z^3=x^3+y^3-(x+y)^3=x^3+y^3-x^3-y^3-3x^2y-3xy^2=-3xy(x+y)=3xyz
3x(M-5x)=3xM-15x²=6x²y³+n3xM=6x²y³-15x²=NM=2xy³MN=-30x³y
∵(x+y+z)(x²+y²+z²)=x³+y³+z³+x²(y+z)+y²(x+z)+z²(x+y)∴1*2
2的1004次方再乘xy1=2xy2=1/xy3=2xy4=1/x如此有规律的再问:为什么2的1004次方啊再答:因为y2007=2x
把点(0,Y3代入函数Y=2X的平方+8x+c得:Y3=c因为函数开口向上,对称轴x=-2Y1是函数的最小值所以Y1<Y2
(x+2)²+|y-1|=0平方数与绝对值都是非负数两个非负数的和为0,那么这两个数都是0x+2=0y-1=0解得:x=-2,y=1x³+3x²y+3xy²+y
|m-2|+(3-3n)^2=0,化简2x^(m-n+1)y3-6y(m-n)x^2平方和绝对值的值恒为非负值,所以只有两个都为0的时候,和才为0所以m-2=0,3-3n=0=>m=2,n=1所以m-
x+y=1(x+y)^2=x^2+2xy+y^2=1(x+y)^3=x^3+y^3+3xy(x+y)=1而x^3+y^3=1/3,代入得:3xy=2/3xy=2/9由于x=1-y;故代入xy=2/9;
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
A-B=(x3+2y3-xy2)-(﹣y3+x3+2xy2)=x³+2y³-xy²+y³-x³-2xy²=3y³-3xy²
27.已知x=1.25,y=-0.64时,求[(x+y)3-(x3+y3)]÷(x+y)的值.[(x+y)^33-(x^3+y^3)]÷(x+y)解,得:==(x+y)^3*1/(x+y)-(x+y)
两边对x求导注意y为x的函数3x^2+3(y+x*dy/dx)+3y^2*dy/dx=0从而dy/dx=-(x^2+y)/(x+y^2)有不明白的留言
x3+3xy-y3=(x-y)(x^2+y^2+xy)+3xy=-x^2-y^2+2xy=-(x-y)^2=-1
x²-x=7y²-y=7相减x²-x-y²+y=0(x+y)(x-y)=x-yx-y≠0约分x+y=1x²-x=7y²-y=7相加x&sup
∵(x+1)2=9,y3=-27,∴x+1=±3,y=-3,∴x=2或-4,y=-3,∴当x=2,y=-3时,3x-y=9;当x=-4,y=-3时,3x-y=-9.