若非零实数a,b满足4a^2+b^2=4ab,则b/a+a/b=

Question

若非零实数a,b满足4a^2+b^2=4ab,则b/a+a/b=

Answer 1

4a²+b²=4ab
(2a)²-4ab+b²=0
(2a-b)²=0
2a=b
b/a+a/b=2a/a+a/(2a)=2+1/2=5/2