已知x-y=1,xy=5,则x的3都方y-2x方y方 xy的3方的值是多少-搜答案-智慧作业帮

将其看出关于x的方程5x²-(6y+4)x+2y²+2y+1=0其判别式△≥0而△=(6y+4)²-20(2y²+2y+1)=-4y²+8y-4=-4

1/x-1/y=(y-x)/xy=-3y=x=-3xyx-y=3xy所以原式=[5(x-y)+xy]/(x-y)-xy]=[5(3xy)+xy]/[(3xy)-xy]=16xy/2xy=8

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x+y=3,xy=14x+3xy+4y=4(x+y)+3xy=4x3+3x1=12+3=15祝学习进步,望采纳,不懂的欢迎追问.再问：怎么又是你啊。。。再问一道题：代数式x²＋x＋3的值为7

(x-y)^2=(x+y)^2-4xy=5^2-4*1=21

（3x-4y+2xy）-（2x-5y+5xy）=x+y-5xy=10

1/x-1/y=3(y-x)/xy=3y-x=3xyx-y=-3xy(5x+xy-5y)/(x-xy-y)=[5(x-y)+xy][(x-y)-xy]=(-15xy+xy)/(-3xy-xy)=-14

答：x+y=-1,xy=-2-5（x+y)+(x-y)+x(xy+y)=-5x-5y+x-y+xy(x+1)=-4x-6y+(-2)(x+1)=-4x-6y-2x-2=-6x-6y-2=-6(x+y)

x^2y+xy^2=xy(x+y)=1/5

/>∵1/x=1/y=6∴x=y=1/6∴(3x-2xy+3y)/(3xy+x+y)=(3/6-2*1/6*1/6+3/6)/(3*1/6*1/6+1/6+1/6)上下同乘36=(18-2+18)/(

x²y+xy²=xy(x+y)=10

x^2y+xy^2=xy(x+y)=(-3)×5=-15

1/x-1/y通分=(y-x)/xy=-(x-y)/xy=-5/3

-5（x+y)+(x-y)+2(xy+y)=-5x-5y+x-y+2xy+2y=-4x-4y+2xy=-4（x+y）+2xy=-4×（-1）+2×（-2）=4+（-4）=0你有问题也可以在这里向我提问

设1/x-1/y=t(5x+xy-5y)/(x-xy-y)=(1-5(1/x-1/y))/(-1-(1/x-1/y))=(5t-1)/(t+1)至于是1/x-1/y=3还是1/y-1/x=3都差不多

这道题目还是在考察韦达定理的运用用伟大定理求出xy的值再代入代数式否则是求不出来的(x+y)^2=x^2+y^2+2xy=1x^2+y^2=5(x-y)^2=5-2(-2)=9下面分两种情况讨论1x-

因为xy/（x+y）=1/2所以x+y=2xy原式=3（x+y)-5xy/(-x-y+3xy)=3*2xy-5xy/(-2xy+3xy)=xy/xy=1

已知x+y=5,xy=3,x³+y³=(x+y)(x²-xy+y²),则1/x³+1/y³=?解,得：因为x+y=5所以(x+y)^2==2

因为,x-y=3xy所以：-3x+6xy+3y/[(7x-5y)-9xy-(3x-y)]=[-3(x-y)+6xy]/[(7x-5y)-9xy-(3x-y)]=[-3*3xy+6xy]/[7x-5y-

5x+xy-5y/x+2y-y?应该是：(5x+xy-5y)/(x+2xy-y)吧!解析：已知x分之1-y分之1=3,那么：(xy)分之(y-x)=3即y-x=3xy所以：(5x+xy-5y)/(x+