a^4+a^2b^2与b^4+a^2b^2(a,b不为0)的等比中项

问题描述:

a^4+a^2b^2与b^4+a^2b^2(a,b不为0)的等比中项
a^4+a^2b^2与b^4+a^2b^2(a,b不为0)的等比中项

a^4+a^2b^2=a²(a²+b²)b^4+a^2b^2=b²(a²+b²)a^4+a^2b^2与b^4+a^2b^2(a,b不为0)的等比中项为:±√[a²b²(a²+b²)²]=±ab(a²+b²)