This System of Equations Looks Hard… Until You See the Trick | Math Olympiad

Описание: Math Olympiad Challenge — Can You Solve This System?

√(a+b) + √(a-b) = 4
a² + b² = 41

Find the values of a and b.

At first glance this looks overwhelming — radicals mixed with
a quadratic condition, two unknowns, and no clear starting point.
But one strategic move completely transforms the problem and
turns it into clean, satisfying algebra.

The trick? Square the radical equation smartly and watch
everything collapse into a simple quadratic you can factor
in seconds.

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🧠 What You'll Learn:
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✔️ How to strategically square a sum of radicals
✔️ How to extract a hidden difference of squares identity
✔️ How to link two equations into one clean quadratic
✔️ How to verify solutions when square roots are involved
✔️ Why a = 5 and b = 4 is the perfect Olympiad answer


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📌 Try It Yourself First!
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Pause the video before the solution and give it a go!
Drop your attempt in the comments below —
can you find a and b? 👇

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