已知(x+y)/(x-y)=3/2,则(x²+y²)/xy =_数学解答

已知(x+y)/(x-y)=3/2,则(x²+y²)/xy =

人气：330 ℃　时间：2019-09-11 14:34:55

解答

(x+y)/(x-y)=3/2
2（x+y)=3(x-y)
2x+2y=3x-3y
x=5y
(x²+y²)/xy
=(25y²+y²)÷(5y²)
=26/5