When inequality turns to equality

Geometry Level 3

Find the number of ordered 5-tuple \((u,v,l,m,n)\) where \(u,v,l,m,n \in\left[1,11\right]\) which satisfy the following inequation. \[\LARGE\left({2}^{\sin ^{ 2 }{ u }+3\cos^{2}{v}}\right)\left({3}^{\sin ^{ 2 }{ l }+\cos^{2}{m}}\right)\left({5}^{\cos^{2}{n}}\right)\ge720\]


Problem is not original.

×

Problem Loading...

Note Loading...

Set Loading...