已知x+y=10,x^3+y^3=100,求x^5+y^5的值

来源：学生作业帮编辑：作业帮分类：数学作业时间：2024/06/07 00:55:05

x+y=10
平方
x²+y²+2xy=100
x³+y³
=(x+y)(x²-xy+y²)
所以x²-xy+y²=100/10=10
x²+y²+2xy=100
相减
3xy=90
xy=30
x²+y²=10+30=40
(x²+y²)(x³+y³)=4000
x^5+x²y³+x³y²+y^5=4000
x^5+x²y²(x+y)+y^5=4000
x^5+(xy)²(x+y)+y^5=4000
x^5+9000+y^5=4000
x^5+y^5=-5000

已知x.x+y.y-6x-8y+25=0,求3x.x+5y的值已知x-y/x+y=3,求代数式5(x-y)/x+y-x+y/2(x-y) 已知3x-2y/x+y=5/3求x；y的值已知：x-y=1,x+y=-7,求代数式3（x+y)+20(x-y)-5的值已知x+y=10,x^3+y^3=100,求x^5+y^5的值已知|3x-y|+|x+y|=0,求x-y除以x*y的值. 1.已知:x-2y=3,求[(3x+2y)(3x-2y)-(x+2y)(5x-2y)]除4x 的值已知x-2y=2016,求[(3x+2y)(3x-2y)-(x+2y)(5x-2y)]除以8x的值已知x-2y=2012,求[(3x+2y)(3x-2y)-(x+2y)(5x-2y)]÷8x的值已知x-2y=2011,求[(3x+2y)(3x-2y)-(x+2y)(5x-2y)]÷4x的值. 已知X/Y=5/3,求X/(X+Y)+X/(X-Y)-Y*2/(X*2-Y*2)的值. 已知x+y=-5,x*x+y*y=19求xy和（x-y)*(x-y)的值