This Math Problem Stumps Most Students. Can You Solve It?

In this math tutorial, I solve the equation 3√(1−x²)+4√(1−x)=5√(1+x)+x+6 using a clever substitution method that turns a difficult radical equation into a system of equations. By letting a=√(1−x) and b=√(1+x), I form the equations a(3b+4)=b²+5b+5 and a²+b²=2. After squaring and substituting, the problem becomes a quartic equation, which I then factorize using trial and error together with synthetic division. Finally, I find the valid positive value of b and use it to determine x step by step. If you are searching for radical equations, substitution tricks, quartic equation factorization, algebra shortcuts, or Olympiad style math problems, this video will help a lot. This tutorial is perfect for students preparing for exams, competitive math learners, and math enthusiasts who enjoy elegant algebra methods. Watch till the end to see how a complicated square root equation can be solved using smart substitutions and careful factorization instead of brute force expansion. . Don’t forget to like 👍, subscribe    / @nonsomaths  , and hit the notification bell for more math tips and tricks! You can support me here: https://buymeacoffee.com/nonsomaths #maths #algebra #matholympiad