A nice math Olympiad problem |you should try to solve this#math #matholympiad
104,229
Published 2024-03-01
Hello all
I hope you all are well😊
If you like this video about
How to solve Maths Olympiad Question |
please Like & Subscribe my channel
#matholympiad
#algebra
#mathematics
your problems 😊
Japanese math Olympiad
china math Olympiad
math Olympiad questions
maths Olympiad
France math Olympiad
math Olympiad
maths Olympiad questions
Japanese multiplication method
math
math Olympiad problems
math problem
algebra 2
nice France
Olympiad mathematics
Olympiad questions
Olympic math
Math Olympiad | A Nice Algebra Problem | How to solve this problem
A Nice Math Olympiad Algebra Problem
A Nice Exponents Problem
A Nice Math Olympiad Exponential Problem
Olympiad Algebra
Solving A Quadratic Equations
International Math Olympiad Problem
International Math Olympiad Problem,
math olympiad topics
olympiad prepare
international olympiad maths
olympiad mathematics
international olympiads
international maths olympiad
olympiad
international mathematics olympiad
mathematics
math olympiad
international math olympiad 2010
international math olympiad
math olympiad problem
math olympiad preparation
american math olympiad question
math olympiad questions
math olympiad question
math olympiad problem
olympiad mathematics
math olympiad
math olympiad training
france maths olympiad
math olympiad problems
math olympiad preparation
math olympiad questions
math olympiad algebra problem
maths olympiad
olympiad, mathematical olympiad
france math olympiad question
olympiad math problems
france maths olympiad preparation
olympiad math
maths trick
math olympiad algebra
france math olympiad questions
high school math
France | Can You Solve this ? Math Olympiad
can you solve this complex problem?
can you solve this logic puzzle?
can you solve this olympiad question?
olympiad
maths olympiad
olympiad mathematics
math olympiad
math olympiad question
math olympiad questions
mathematical olympiad
math olympiad training
math olympiad preparation
math olympiad proble
olympiad math
math olympiad algebra problem
math olympiad problems
olympiad math problems
maths
france maths olympiad
Luxembourg- Math Olympiad Questions
Mamta maam
thailand junior maths olympiad problem
olympiad math problems
beautiful algebra problem
viral math problem
math olympiad problem
Nice Algebra Math Simplification Find Value of X
Russian Math Olympiad Question.
Japanese | Can you solve this ? | Math Olympiad
Nice Exponent Math Simplification
Math Olympiad | A Nice Algebra Problem | How to solve for X and Y in this Problem?
Japanese Math Olympiad Question | A Nice Algebra Problem
France | Can you solve this ?| Math Olympiad
Japanese Math Olympiad | Calculators Not allowed !
France Math Olympiad | Calculator Not Allowed!
Germany| Can you solve this ? |A Nice Maths Olympiad problem
China | Can you solve this ? Math Olympiad
France | Can you solve this ? | Math Olympiad
Iran Math Olympiad - Algebra - Find f(0)?
France Math Olympiad | Calculator Not Allowed
Russian- Math Olympiad Question
International Maths Olympiad Problem | Alg.Nice Algebra Math Simplification Find Value of X
Russian Math Olympiad Question.
Japanese | Can you solve this ? | Math Olympiad
Nice Exponent Math Simplification
Math Olympiad | A Nice Algebra Problem | How to solve for X and Y in this Problem?
Japanese Math Olympiad Question | A Nice Algebra Problem
France | Can you solve this ?| Math Olympiad
Japanese Math Olympiad | Calculators Not allowed !
France Math Olympiad | Calculator Not Allowed!
Germany| Can you solve this ? |A Nice Maths Olympiad problem
China | Can you solve this ? Math Olympiad
A Nice Math Olympiad Question
Germany| Can you solve this ? |A Nice Math Olympiad
Math Olympiad | A Nice Algebra Problem | How to solve this problem
A Nice Math Olympiad Algebra Problem
A Nice Exponents Problem
A Nice Math Olympiad Exponential Problem
viral math problem,
math Olympiad problem
Math Olympiad Question | Equation Solving| You should know this trick!!
Japanese -A Nice Math Olympiad Problem
- Math Olympiad Problem | You should know this trick!!
Viral Math Olympiad Problem | How to solve
Algebra - Nice Math Olympiad Problem #maths
US Math Olympiad problem #maths
Nice Exponent Math Simplification | Find the value of X??
Math Olympiad Question | Nice Algebraic Equations
math Olympiad problems ! viral math problems
Brazil Maths Olympiad Question #maths #mamtamaam
Math Olympiad Question | Algebra
A Nice Chinese Olympiad Exponential Prob
All Comments (21)
-
There's a nice way using Viete's formulas - a,b are the roots of the equation x^2-(a+b)x + ab = 0, after finding ab=-1/2 you get 2x^2-2x-1 = 0 or x^(n+2)=x^(n+1) + (x^n)/2 - always true for roots a,b, giving the recursive relationship a^(n+2) + b^(n+2) = (a^(n+1) + b^(n+1)) + (a^n + b^n)/2.
-
b=1-a substitute for b in a^2+b^2=2. You will get 2*a^2-2*a-1=0 you can find a and b
-
Nice problem, nice solution!
-
Let a+b =S and ab=P. In the second equation a^2+b^2 =(a+b)^2-2ab=2 leads to ab=-1/2. If a and b are solutions of the quadratic equation X^2+PX+S=0, that give us to a,b =(1±√3)/2.
-
DUDE YOU NEED TO DRAW 1'S NOT LIKE STICKS CAUSE I THOUGHT YOU WERE TAKING THE DOUBLE DERIVATIVE OF A AND B!!!
-
Let Sn be a^n + b^n Then you can show Sn+1 = Sn + 1/2Sn-1 S11 can be calculated with primary school math starting from S1 and S2
-
another solution: let d = (a+b-1=0), given g= (a^2+b^2-2=0) get remainder g/d = 2*b^2-2*b-1 =0 => b=1/2 +/- sqrt(3)/2. use synthetic division (a^11+b^11)/(a+b-1) and get remainder R(b): R(b)=11*b^10 - 55*b^9 + 165*b^8 - 330*b^7 + 462*b^6 - 462*b^5 + 330*b^4 - 165*b^3 + 55*b^2 - 11*b + 1. now use synthetic division R(b)/(b-(1/2+/-sqrt(3)/2) -> 989/32 => final result (a^11+b^11)=989/32)
-
alternative? 2*x^2-2*x-1 =0 & x^11+y^11= (2048*x^22-1)/(2048*x^11) . Use synthetic division (by 2*x^2-2*x-1) on both numerator and denominator to obtain remainders. i.e. x^11+y^11 -> (1129438*x+413402)/ (36544*x+13376) = 989/32 .
-
Time taking and lengthy process. If you can find value of a-b by the formula (a-b)^2=(a+b)^2-4ab, after that find the value of a & b , finally you put the value get the answer
-
Music no need for this video. You can say) . Think you!
-
RHS value = power of a or b= 11 Don't think too much
-
it is very easy to find the value of a-b
-
smart way but ... too "dump". Easy to find a, b => done :-)
-
Perfect solution..👍. Here there is no other shortcut trick.. What is the point to find value of a and b?
-
You could use the a to the fifth equation to the same benefit.
-
ليه المرار الطافح ده ، استخدم نظرية ذات الحدين واخلص
-
i ❤ Mathematics
-
Long proces
-
I am always puzzled when I see solutions like that. Who the hell need it? You have two equations with two variables. Easily find both of them as (1+=sqrt(3)/2 and after any of their combination. How twisted mind should people have to post 16 minutes video with crazy computations for that task?
-
1:07 too boring and complicated
