Can You Solve This Radical Equation? Most Students Skip It! скачать в хорошем качестве

Can You Solve This Radical Equation? Most Students Skip It!

In this algebra tutorial, I solve the radical equation (11√(1+x) - 16√(1-x)) / (√(1+x) + 8√(1-x)) = x using a powerful substitution technique. When you see nested square roots with both √(1+x) and √(1-x) appearing together, there's a clever trick: let y = √(1-x) / √(1+x). This transforms the messy rational expression into something much simpler, and we also find a relationship between y² and x that unlocks the solution. I walk you through the substitution, simplify the equation step-by-step, solve for y, and then back-substitute to find x. This problem is perfect for precalculus students, math competition prep, and anyone who wants to master radical simplifications and substitution strategies. 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 #matholympiad #maths #algebra