These Simultaneous Equations Stumped Me, Until I Used This Trick! | Math Olympiad

Описание: Are you frustrated with simultaneous equations that seem impossible to solve? You're not alone. In this math tutorial in which i solve the tough math olympiad simultaneous equations: x + (3x − y)/(x² + y²) = 3 and y − (x + 3y)/(x² + y²) = 0, you'll see how complex numbers can be the key to unlocking hidden solutions, making even the most challenging problems approachable.

This problem is perfect for students preparing for math Olympiads, A-level exams, or anyone looking to sharpen their precalculus problem-solving skills. Whether you're a senior high school student or a math enthusiast, this tutorial will deepen your understanding of rational expressions in systems of equations. Don’t miss this clever trick for simplifying the system and solving for x and y efficiently!

00:18 - Reducing the two simultaneous equations to a quadratic equation in z
07:49 - Solving the quadratic equation in z using the quadratic formula
09:52 - Finding the square root of a complex number
13:31 - Answer Check

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