Question

若m²-n²=mn,求m²÷n²+n²÷m²的值.

Answer 1

∵m²-n²=mn∴(m²-n²)^2=(mn)^2则 m^4+n^4-2m²n²=m²n²从而 m^4+n^4=3m²n² ①又 m²÷n²+n²÷m²=m^4/(m²n²)+n^4/(m²n²)=(...