Nice Algebra Trick: x² − y² = 16, xy = 6, x + y = ?@LearnSTEMwithBenjamin
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Nice Algebra Trick: x² − y² = 16, xy = 6, x + y = ?@LearnSTEMwithBenjamin
72 просмотра · 2 дн. назад
Learn STEM with Benjamin
106 подписчиков
72 просмотра · 2 дн. назад
Can you solve this math olympiad question? 🤔
x² − y² = 16
xy = 6
x + y = ?
In this video, we solve this system of equations step by step using a clever algebra identity, without needing to solve for x and y separately. You will see how the given equations connect, how to find the value of x + y, and how to check the possible signs of the answer.
Pause the video and try it yourself first, then watch the full solution!
📌 What you will learn:
• How to use identities to link x² − y² and xy
• A neat way to find x² + y² from the given equations
• How to get x + y without solving for x and y one by one
• Why you must consider positive and negative values
👍 Like the video if it helped you
💬 Comment your answer below
🔔 Subscribe to @learnstemwithbenjamin for more math olympiad problems and lessons
#MathOlympiad #Algebra #SystemOfEquations #MathPuzzle #LearnMath