若非零自然数,a,b满足a^2=ab-1/4b^2,求a/b的值
问题描述：
若非零自然数,a,b满足a^2=ab-1/4b^2,求a/b的值
答
a^2=ab-1/4b^2 (a-b/2)^2=0 a=b/2 a/b=1/2
若非零自然数,a,b满足a^2=ab-1/4b^2,求a/b的值
a^2=ab-1/4b^2 (a-b/2)^2=0 a=b/2 a/b=1/2