Math Olympiad | A Nice Algebra Problem | Equation
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- Опубліковано 30 вер 2024
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How to solve x^2-x^3=36
In this video, we'll show you How to Solve Math Olympiad Question A Nice Exponential Equation x^2-x^3=36 in a clear , fast and easy way. Whether you are a student learning basics or a professtional looking to improve your skills, this video is for you. By the end of this video, you'll have a solid understanding of how to solve math olympiad exponential equations and be able to apply these skills to a variety of problems.
We have a cubic equation: x^3-x^2-36=0. It has an obvious solution x=-3. By factoring, the cubic equation becomes (x+3)(x^2-4x+12)=0. The second factor gives two additional komplex solutions x=2(1+i sqrt(2)) and x=2(1-i sqrt(2)). There is no need for lengthy mantal gymnastics...
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