已知a^2+2ab-35(b^2)=0求a/b+b/a_数学解答

已知a^2+2ab-35(b^2)=0求a/b+b/a

人气：109 ℃　时间：2020-09-19 17:43:11

解答

a² + 2ab - 35b²= 0两边同除b²得：(a/b)² + 2(a/b) -35 = 0(a/b - 5)(a/b + 7) = 0a/b = 5 或 a/b = -7所以a/b + b/a = 5 + 1/5 = 26/5或a/b + b/a = -7 -1/7 = -50/7