已知x+y=10.xy=24.求x^3+y^3,x^4+y^4

来源：学生作业帮助网编辑：六六作业网时间：2024/12/18 21:08:00

已知x+y=10.xy=24.求x^3+y^3,x^4+y^4已知x+y=10.xy=24.求x^3+y^3,x^4+y^4已知x+y=10.xy=24.求x^3+y^3,x^4+y^4∵x+y=10

已知x+y=10.xy=24.求x^3+y^3,x^4+y^4
已知x+y=10.xy=24.求x^3+y^3,x^4+y^4

已知x+y=10.xy=24.求x^3+y^3,x^4+y^4
∵x+y=10, ∴(x+y)^2=100
∴x^2+2xy+y^2=100
∴x^2+y^2=100-2xy=100-2*24=52
∴x^3+y^3=(x+y)(x^2-xy+y^2)=10*(52-24)=280
x^4+y^4=(x^2+y^2)-2x^2*y^2=52^2-2*24^2=1552
望采纳!有问题请追问!

很简单的啊——！
不想用公式算的话,直接就看出来了。
x = 4, y = 6

已知x+y=10.xy=24.求x^3+y^3,x^4+y^4 已知:x/y=-2,求x^2-2xy-3y^2/x^-6xy 已知xy/x+y=3,求代数式3x-5xy+3y/-x+3xy-y的值.已知xy/x+y=3,求代数式3x-5xy+3y/-x+3xy-y的值. 已知X+Y=3XY,求2X+2Y-XY除以X+Y+2XY的值,要算理.已知X+Y=3XY,求2X+2Y-XY除以X+Y+2XY的值,要算理. 已知,xy/x+y=3,求代数式3x-5xy+3y/-x+3xy-y的值已知,xy/x+y=3,求代数式3x-5xy+3y/-x+3xy-y的值已知xy/x+y=2,求代数式3x-xy+3y/-x+3xy-y的值已知xy/x+y=6,求3x-2xy+3y/-x+3xy-y的值. 已知(xy)/(x+y)=6求(3x-2xy+3y)/(-x+3xy-y)的值. 已知xy/x+y=3,求2x-3xy+2y/-x+3xy-y的值已知xy/x+y=3,求2x-3xy+2y/-x+3xy-y的值已知x-y=3xy,求分式3x+2xy-3y/x-2xy-y的值已知X+Y分之XY=2,求-X+3XY-Y分之3X+5XY+3Y 已知y=3xy+x,求代数式2x+3xy-2y/x-2xy-y的值已知xy/x+y=3,求代数式2x-5xy+2y/x-3xy+y 已知3x=xy+3y,求2x+xy-2y/y-x-xy的值已知y-x-2xy=0,求3x+xy-3y/y-xy-x的值已知x-y/xy=3,求分式2x+3xy-2y/x-2xy-y的值.