A awesome mathematics exponential & radical problem | Olympiad Question | x=?

[@Ismailorakzai-u1m]

❤❤❤❤😊

[@Ismailorakzai-u1m]

Thanks sir,g

[@HuzaifaKhan-m3i]

Great question sir ❤

[@AfsarSaid-f8s]

Good video SAR G

[@SrisailamNavuluri]

On observation 34=2+32 or 32+2 When √x^3/√(20-x)=2.x^3=4(20-x) on squaring x^3+4x=80=64+4×4 x=4 √16^3/√4=4^3/2=32 When √x^3/√(20-x)=32,x^3=32×32(20-x) on squaring x^3=1024(20-x)=20480-1024x x(x^2+1024)=16×1280=16(256+1024) X=16 √16^3/(20-16)=4^3/√464/2=32 √(20-16)^3/√16=2^3/4=8/4=2.

[@RyanLewis-Johnson-wq6xs]

Sqrt[x^3]/Sqrt[20-x]+Sqrt[(20-x)^3]/Sqrt[x]=34 x=4 x=16 x=10±5Sqrt[21]i

[@RealQinnMalloryu4]

{x^3+x^3 ➖}/(20)^2 ➖ (x)^2 +(800 ➖ x^3)/x^2=x^6/{400 ➖ x^2}+x^0+x^0 ➖ x^0+x^0 ➖ x^0+x^0 ➖}/x^2=x^6/{x^0+x^0 ➖ x^0+x^0 ➖ }+{x^1+x^1+x^1}/x^2=x^6/{x^1+x^1}+x^3/x^2={x^6/x^2+x^3/x^2}=x^9/x^4=x^1.5 x^1.2^3 x^1.2^1 x^1^.2 (x ➖ 2x+1).