作业帮若实数x,y满足 x+y=3,x^2+y^2=7,求x^5+y^5的值
来源：学生作业帮助网 编辑：作业帮 时间：2024/07/30 05:02:49
xM
0Җ҄G)&ىE\Iх VAōW1cuU2|/Ch?FkY-DqZ>w O+ĈWr'
L]Y' IB@`(υf5w BV@7`*KY/ہNV <%\7E vL_qÃX*a+`l( Ӡ֛15ŷ(.
若实数x,y满足 x+y=3,x^2+y^2=7,求x^5+y^5的值
若实数x,y满足 x+y=3,x^2+y^2=7,求x^5+y^5的值
若实数x,y满足 x+y=3,x^2+y^2=7,求x^5+y^5的值
x^2+y^2=(x+y)^2-2xy
即7=3^2-2xy
则2xy=9-7=2
xy=1
x^3+y^3=(x+y)(x^2-xy+y^2)
=3×(7-1)
=18
(x^2+y^2)(x^3+y^3)
=x^5+x^2y^3+y^2x^3+y^5
将xy=1代入上式
得x^5+y^5+y+x
=x^5+y^5+3
又(x^2+y^2)(x^3+y^3)
=7×18
=126
即
x^5+y^5+3=126
则
x^5+y^5=123
123
若实数x,y满足约束条件x-y-2=0,2y-3
若实数x,y满足x^2-xy-y^2 =0,则x/y=?
若实数x,y满足不等式组x>=0 ,y>=0,x+2y
若正实数x.y满足x+y=xy,则x+2y的最小值
已知实数x,y满足y=|x-1|若x+2y
实数x.y满足(x-2(平方)+y(平方)=3则y/x的最大值?
实数x.y满足(x-2(平方)+y(平方)=3则y/x的最大值?
实数X,Y满足(X-2)方+Y方=3 求Y/X的最大值
若实数X,Y同时满足3x+2y=7和2x+3y=3,求x+y/x-y
若实数x,y满足y
若实数x,y满足不等式y
若实数x,y满足不等式x-y>=-1,x+y>=1,3x-y
若实数x,y满足不等式x-y>=-1,x+y>=1,3x-y
设实数X,Y满足2X+Y-2>=0,X-2Y+4>=0,3X-Y
实数x,y满足2x+5y>=0,2x-3y>=-6,2x+y
若实数x,y满足x²+y²-2x+4y=0,求x-y的最大值
若实数x y满足（x+y)²+（x+y)-2=0则x+y值为
设正实数x,y满足x^3+y^3=x-y,求证：x^2+4y^2