若非零实数a,b满足a^2=ab-1/4b^2 ,则b/a=___

若非零实数a,b满足a^2=ab-1/4b^2 ,则b/a=___
若非零实数a,b满足a^2=ab-1/4b^2 ,则b/a=___

若非零实数a,b满足a^2=ab-1/4b^2 ,则b/a=___
各项除以b^2,令a/b=x,则x^2-x-1/4=0,接下来你懂的(求解,倒数)!