One Hidden Trick Solves This Square Root Equation

In this math tutorial, I solve the equation √(2x²−7x+1) − √(2x²−9x+4) = 1 using a clean algebra trick that turns a difficult radical equation into a simple system of equations. By substituting a = √(2x²−7x+1) and b = √(2x²−9x+4), we form the equations a²−b² = 2x−3 and a−b = 1, then solve step by step for a and finally for x. This method makes the problem much easier to understand and is perfect for students preparing for algebra exams, math competitions, or anyone who enjoys challenging equation solving tricks. If you are searching for how to solve radical equations, square root equations, algebra substitution methods, simultaneous equations tricks, or difficult algebra problems explained step by step, this video will help. This tutorial is designed for high school math students, Olympiad learners, and math enthusiasts looking for elegant problem-solving methods. Watch till the end to see the full shortcut and learn a powerful technique you can use in many other algebra problems involving square roots and substitutions. 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