如果x 2=y 3,那么7x平方

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如果x 2=y 3,那么7x平方
已知A(X1,Y2)B(X2,Y2)C(X3,Y3)在y=2^x 上 X1+2X2+3X3=1 则Y1+Y2^2+Y3^

x=log2(y)则X1+2X2+3X3=log2(y1)+2log2(y2)+3log2(y3)=log2(y1)+log2(y2^2)+log2(y3^3)=log2(y1y2^2y3^3)=1所

已知x+y=1,x3+y3=100.求x2+y2的值

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

如果x-1x=3,那么x2+1x2=(  )

原式=x2+1x2+2-2,=(x-1x)2+2,=9+2,=11.故选D.

若x+y=10,x3+y3=100,则x2+y2=______.

x3+y3=(x+y)(x2-xy+y2),∴x2-xy+y2=10,∵x+y=10,∴x2+2xy+y2=100,∴2xy=100-(x2+y2),把xy=x2+y2-10,代入得:100-(x2+

如果x2+x+1=0,那么代数式x3+2x2-7的值

x的平方+X+1=0方程式不成立

如果x2+2x=3,那么x4+7x3+8x2-13x+15=______.

∵x2+2x=3∴x4+7x3+8x2-13x+15=x2(x2+2x)+5x3+8x2-13x+15=x2×3+5x3+8x2-13x+15=5x3+11x2-13x+15=5x(x2+2x)+x2

解方程组:y2=x3-3x2+2x;x2=y3-3y2+2y

y^2=x^3-3x^2+2xx^2=y^3-3y^2+2y两式相减得:y^2-x^2=(x^3-y^3)-3(x^2-y^2)+2(x-y)(x-y)(x^2+xy+y^2-2x-2y+2)=0所以

如果x2+x-1=0,那么代数式x3+2x2-7的值为(  )

由x2+x-1=0得x2+x=1,∴x3+2x2-7=x3+x2+x2-7,=x(x2+x)+x2-7,=x+x2-7,=1-7,=-6.故选C.

换元法解方程(x的平方-3/x)+(10x/x的平方-3)=7时,如果设x的平方-3/x=y那么

原方程可化为y+10/y=7y^2-7y+10=0(y-2)(y-5)=0y1=2,y2=5y1=x^2-3/x=2x^2-3=2xx^2-2x-3=0(x-3)(x+1)=0x1=3,x2=-1y2

数据x1,x2,x3,x4,x5与数据y1,y2,y3,y4,y5满足x1+y1=x2+y2=x3+y3=x4+y4=X

设x1+y1=x2+y2=x3+y3=x4+y4=X5+y5=A,y1=A-x1,y2=A-x2,...,y5=A-x5.yˉ=(y1+y2+...+y5)/5=(A-x1+A-x2+...+A-x5

x+y=10,x3+y3=100,则x2+y2=?

x^3+y^3=(x+y)(x^2-xy+y^2)=10(x^2+y^2-xy)=100x^2+y^2-xy=10(1)x+y=10平方x^2+2xy+y^2=100(2)(1)*2+(2)2x^2+

如果x2-x+3=5,那么-4x+4x2-10=______.

由题意得:x2-x=2-4x+4x2-10=4(x2-x)-10=-2故填-2.

如果x2+x-1=0那么代数式x3+2x-7的值为

x3-2x-7=x3+x2-x2+2x-7=(x3+x2-x)-(x2+x-1)-8=x(x2+x-1)-(x2+x-1)-8=-8

如果 x2=y3=z5

设x2=y3=z5=t,则x=2t,y=3t,z=5t,∴x+3y−zx−3y+z=2t+9t−5t2t−9t+5t=-3.故答案是:-3.再问:=v=O(∩_∩)O谢谢

如果x2=y3=z4

根据题意,设x=2k,y=3k,z=4k∵x+y+z=18∴2k+3k+4k=18,解得k=2∴x=4,y=6,z=8∴x+y-z=2.

推导公式:(x+y)(x2-xy+y2)=x3+y3.

左边=x3-x2y+xy2+x2y-xy2+y3=x3+y3=右边

已知x-y≠0 x2-x=7 y2-y=7 求x3+y3+x2y+xy2的值

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