Exponential Diophantine Equation | Chinese Math Olympiad

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How to solve this exponential diophantine equation from the Mathematical Olympiad? This algebra video presents step-by-step the basic algebraic techniques and tricks to solve this diophantine equation easily. For another Math Olympiad problem: • Solve Quartic Equation...
For more questions, tips and tricks like this, please visit Dr Wang's Channel: / @drwangusa
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Опубликовано:

16 окт 2024

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Комментарии : 6

@DrWangUSA 11 месяцев назад

Recommended Videos: Math Olympiad | Quartic Equation: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-CLb7XVXGUg0.html Diophantine Equation | Chinese Math Olympiad : ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-2zUGhkVHVMw.html Turning One Big Number into a Product | Math Olympiad: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-HKqGYuH-S2I.html Chinese Math Olympiad | Cubic Equation: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-NLZ3uzH5bM0.html

@dlp778 11 месяцев назад

The appearance of the problem seems difficult, but by presenting logical arguments as you mentioned, the problem can be solved beautifully. Thanks for the explanation.

@DrWangUSA 11 месяцев назад

Thank you very much.

@dlp778 11 месяцев назад

You are welcome 🙏 🙏

@9허공 9 месяцев назад

I got the value of z as followed: Since the product of two numbers are even, (2x+1)^y+1 and (2x+1)^y-1 are both even. let (2x+1)^y+1=2n then (2x+1)^y-1=2n-2 then 2n*(2n-2)=2^z => n*(n-1)=2^(z-2) The product of two consecutive numbers is powers of 2. The two numers are only 2 and 1. that means n=2 and z=3.

@DrWangUSA 9 месяцев назад

Thanks for sharing