A Nice Mathematics algebra radical problem | Olympiad Question | x=?

[@AfsarSaid-f8s]

Good question

[@NaeemKhan-n7j]

Good

[@HuzaifaKhan-m3i]

Great question sir ❤

[@Ismailorakzai-u1m]

Thanks sir,g

[@RyanLewis-Johnson-wq6xs]

Sqrt[(45+x)^3/(45-x)]+Sqrt[(45-x)^3/(45+x)]=246 x=±36 x=±15Sqrt[91]i

[@RealQinnMalloryu4]

{135x+x^3}/{1825 ➖ x^2}+{2925 ➖ x^3}/{135+x^3}=135x^3/{x^0+x^0 ➖ x^0+x^0 ➖}+{x^0+x^0 ➖ x^0+x^0 ➖ x^0+x^0 ➖}/135x^3=135x^3/{x^1+x^1}+{x^1+x^1+x^1}/135x^3 ={135x^3/x^2+x^3/135x^3}=135x^6/135x^5=1x^1 (x ➖ 1x+1).