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China | A Nice Algebra Problem | Math Olympiad 

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Find the value of x and y?
How to solve x^y+y^x=17
In this video, we'll show you How to Solve Math Olympiad Question A Nice Exponential Equation x^y+y^x=17 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.
#matholympiad #mathtricks #maths

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6 июн 2024

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Комментарии : 24   
@David2718281828
@David2718281828 6 дней назад
Don't work so hard! 18^1 - 1^18 = 17
@David2718281828
@David2718281828 6 дней назад
This is similar to the solution by @user-ts9kq4vn2u
@David2718281828
@David2718281828 6 дней назад
But with one equation and two unknowns, for any given value of x you can likely find a solution for y.
@SALogics
@SALogics 5 дней назад
Very nice, you are a genius, I appreciate that ❤
@SALogics
@SALogics 5 дней назад
Really??
@SALogics
@SALogics 5 дней назад
Yes, you are right ❤
@user-ts9kq4vn2u
@user-ts9kq4vn2u 8 дней назад
The other solutions are x=1, y=-16; y=1, x=18.
@SALogics
@SALogics 8 дней назад
Yes, You are right, I appreciate that ❤
@rubenfuentes205
@rubenfuentes205 2 дня назад
Excelent Master thanks you
@silvanomattioli9720
@silvanomattioli9720 6 дней назад
3^4-4^3 easy in brute force mode like y made at the end. BUT is not the only one...
@SALogics
@SALogics 5 дней назад
Very nice solution, I appreciate that ❤
@GT-fs5fu
@GT-fs5fu 21 день назад
Nice video. Keep up the good work.
@SALogics
@SALogics 21 день назад
Thanks, will do! ❤
@santokhsidhuatla7045
@santokhsidhuatla7045 10 дней назад
X^y-y^x= 17 3^4-4^3=17 81-64=17 X=3 Y=4
@SALogics
@SALogics 9 дней назад
Yes, you are a genius! I appreciate that ❤
@markderlo212
@markderlo212 3 дня назад
I wonder if this method is applicable eg to this : x^y - y^x = 399 ? or ...= 169
@abbasmasum1633
@abbasmasum1633 4 дня назад
The best methos ever. Guess & check is not a real method. Thank you for showing us this :)
@SALogics
@SALogics 4 дня назад
You're welcome! ❤
@nikolayguzman331
@nikolayguzman331 3 дня назад
Nice idea.
@SALogics
@SALogics 3 дня назад
Thanks a lot ❤
@alfonsorafaelposadaescando4482
@alfonsorafaelposadaescando4482 17 дней назад
Buenísimo 👍👍🇻🇪👍👍
@SALogics
@SALogics 16 дней назад
muchas gracias! ❤ Thank you so much ❤
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