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Smart math tricks
Приєднався 11 жов 2024
Welcome to Smart Math Tricks!
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Unlock the magic of mathematics with our easy-to-follow tricks and techniques designed to make math simple and fun!
Join us for:
✨ Quick math hacks that help you solve problems faster
📚 Math tips and tricks for mastering arithmetic, algebra, geometry, and more
🎉 Fun math challenges and puzzles to sharpen your skills
🔍 In-depth math tutorials that simplify complex concepts
Subscribe and embark on a journey to become a math whiz!
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Germany Math Olympiad: Can You Crack This Problem? | Can You Solve This Puzzle? | Germany
We're bringing you a thought-provoking math problem straight from the prestigious Math Olympiad. Test your problem-solving skills and see if you can solve this challenging puzzle!
🔍 Math Olympiad enthusiasts, puzzle lovers, and those who enjoy a good brain teaser will find this problem both fun and educational. Whether you're preparing for the Math Olympiad or simply love solving complex math challenges, this video is for you!
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🔍 Math Olympiad enthusiasts, puzzle lovers, and those who enjoy a good brain teaser will find this problem both fun and educational. Whether you're preparing for the Math Olympiad or simply love solving complex math challenges, this video is for you!
🧠 Key Concepts:
Math Olympiad problems
Advanced problem-solving techniques
Logical reasoning
Geometry, algebra, and number theory
Keywords: Math Olympiad, Germany Math Olympiad, Math Challenge, Brain Teasers, Problem Solving, Advanced Math, Math Puzzle, Olympiad Math Problem, Logical Reasoning, Math Contest, Algebra, Geometry, Number Theory, Brain Teasers for Adults
👍 Like this video if you enjoy Math Olympiad problems, and subscribe for more challenging math puzzles from around the world!
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Переглядів: 15
Відео
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Переглядів 21128 днів тому
Germany | Can You Crack the Code? Germany's Math Olympiad Challenge Find (x-3)^6=6^6
5
WAY too fiddly. =5 is immediately obvious. There are 3 solutions since it is a cubic, symmetrical about the origin on the Argand plane. so x = 5, 5 cis(2π/3) and 5 cis(-2π/3). giving x = 5, 5(-1+i√3)/2, 5(-1-i√3)/2 And if this is the level I need for Harvard, let me at it!
4제곱x=24 4*x×4*x=24 X*x=24÷16=1.5 X=루트1.5=1.224 4×1.224×4×1.224=24 4.896×4.896=24 X=4.896 X=(4=제곱2).896 4.896 4.896×4.896=24 N에 제곱은? N*x×n*x. =n=2. 3제곱값 구하는방식 찾는데 니들은 껌이지. 5에 x제곱=35 5×x×5×x=35 X*x=35÷25=1.4 루트1.4=1.1832 5×1.1832×5×1.1832=35 ----------------------- =2.1832×2.1832=35 검산해보면 거의틀리는데 검산해보니 이건 맞음❤
Thank you for your comments
Second solution: (k/4)⁶ = 2⁶ k⁶ / 4⁶ = 2⁶ k⁶ = 2⁶ · 4⁶ k⁶ = 8⁶ k⁶ − 8⁶ = 0 (k³ + 8³) ⋅ (k³ − 8³) = 0 (k + 8) ⋅ (k² − 8k + 8²) ⋅ (k − 8) ⋅ (k² + 8k + 8²) = 0 Rule of zero product: 1. k + 8 = 0 k₁ = −8 2. k² − 8k + 8² = 0 k₂,₃ = 4 ± √(4² − 8²) = 4 ± √−48 = 4 ± i · √48 k₂ = 4 − i · 4√3 = 4 · (1 − i · √3) k₃ = 4 + i · 4√3 = 4 · (1 + i · √3) 3. k − 8 = 0 k₄ = 8 4. k² + 8k + 8² = 0 k₅,₆ = −4 ± √((−4)² − 8²) = −4 ± √−48 = −4 ± i · √48 k₅ = −4 − i · 4√3 = 4 · (−1 − i · √3) k₆ = −4 + i · 4√3 = 4 · (−1 + i · √3)
First solution: (k/4)⁶ = 2⁶ k⁶ / 4⁶ = 2⁶ k⁶ = 2⁶ · 4⁶ k⁶ = 8⁶ kₙ = 8 · [cos(n · 360°/6) + i · sin(n · 360°/6)] k₁ = 8 · [cos(60°) + i · sin(60°)] = 4 + i · 4 · √3 = 4 · (1 + i√3) k₂ = 8 · [cos(120°) + i · sin(120°)] = −4 + i · 4 · √3 = 4 · (−1 + i√3) k₃ = 8 · [cos(180°) + i · sin(180°)] = −8 + i · 0 = −8 k₄ = 8 · [cos(240°) + i · sin(240°)] = −4 − i · 4 · √3 = 4 · (−1 − i√3) k₅ = 8 · [cos(300°) + i · sin(300°)] = 4 − i · 4 · √3 = 4 · (1 − i√3) k₆ = 8 · [cos(360°) + i · sin(360°)] = 8 + i · 0 = 8
Thank you for your comments
X=2 2×2×2×2+2×2=16+4=20
Muito bom, consegui resouver esse bicho cabeludo.
Thank you for comments
K=8e^i*2*n*pi/6 n=0,1,..,n Which is 8*(cos(2n pi/6)+i sin(2n pi/6)) Which includes +\-8 but as well +\-0.5+\-isqrt(3)/2
Thanks for your comments
(5×5)+(5×5)+(5×5)+(5×5)+(5×5)= X*X*X=125 125÷x÷(x*x)= x*x=125÷x X=125÷x÷x X=125÷5=25 X=25÷5=5 어떻한 수+같은수로 두번 나눠줘야 x에 3제곱이다? X에 3제곱정의는 N 이 어떻한수로, !!!어떻한수와 같은 동일한수로 2번!!! 나눠줘야 n 에 3제곱이다=!!!같은수로 3번곱해야 3제곱!!!이다. 125=1×125 5×25 5×5×5 나눌땐 동일한수로 2번 나눠지고, 곱할땐 같은수로 3번 곱하는거"3제곱 8÷2÷2=2 8=2×2×2 N을 동일한 x로 한번더 x =x가 되는게 n에 3제곱 #####10에 x÷x=x 10에x÷x=x는?###### 이걸풀면 필즈상 아벨상 받는다ㅋㅋ
Thank you
2⁶=±2⁶ K=±8
Thank you for comments
That is only 1/3 of the solution.
X^3=5^3 X*x*x= 5*5*5 Y=5
Thank you for your comments
six to the boro nine to the boro
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Keep growing my fellow Mathematician ❤❤❤❤❤❤I have subscribed
5
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Lk dn ion h bhai
X³=5³? X=5
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Это задача не уровня Гарварда. Так, 8-9 класс школы максимум. Основная идея для решения - что корней такого уравнения - три по максимальной степени.
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и тут я обращаюсь ко всем идиотам, не являющимся героическими орками: поймите вы, наконец, как наша героическая армия орков под командованием верховного долбанного советского агента Орка Путлинки рассчитывает траектории ракет, летящих на проклятую Украину, которые не хочет бесплатно задирать большую матушку Россию, т. е. бандитский Оркостан!!!
125
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Yep, x^3=125, but we need x, and x have 3 roots
basic algebra: a cubic equation has 3 solutions; most comments only mention x=5. there two more solutions. x = [-5 ± √(∆) ]/2 = [-5 ± √(-75) ]/2 = [-5 ± √(25 * -1 * 3) ]/2 = [-5 ± 5*i*√ 3]/2 where (by definition) i = √(-1)
Thank you
in English ... "a*b" is read "a times b" not "a into b". very distracting.
Thank you for comments
x=5
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Hello, I found 3 solutions : (x,y) : {(148,141),(68,51),(1012,1011)}
Thank you for your solution
Why doesn’t X = 5?
you dumb? The first solution itself is x = 5. But there are solutions also in the complex world. x to the power of 3 must have three solutions thats what
Thank you for comments, Three solutions
Because this is too symple
Cubic function. Can have up to 3 solutions. One real 2 imaginary.
The solution is clearly obvious. Not sure why the creator took the marathon route through the jungle to solve this problem.
bro shut up. x = 5 is straightforward but im pretty sure you couldn't have found the other 2 complex answers bruuhhhh. Study some maths
Study complex numbers. Cubic equations have 3 solutions.
25x = 250 x = Log 250 / log25 x = 1.71533 25^1.71533 = 250
Thank you for comment
3x = 5^3 3x= 125 x = Log125 / Log3 x = 4.39492 3^4.39492 = 125
4.39492 no es jamás un número imaginario.
Thank you for comments
true, but that is unrelated to the problem given :: x^3 = 5^3
11^x=11^5=[[ x=5 ACADEMICMARCELIUS MARTIROSIANAS 2o18 VIKIPEDIA Volnaencyklopedia ACADEMIC MARCELIUS Martirosianas 17 Matwematikos ModelioAtradejas Plic Stanford Cardinal universityPNG
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(x-2)(x^3+2x^2+5x+10)=0 , x=2 , x^3+2x^2+5x+10=0 , x^2(x+2)+5(x+2)=0 , (x+2)(x^2+5)=0 , x=-2 , x= i*V5 , -i*V5 ,
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X³=5³; solution; X³-5³=0; (X-5)(X²+5X+25)=0; X-5=0; X=5; X²+5X+25=0; ∆=5²-4×1×25; ∆=25-100; ∆=-75;S={5}.
Thank you
yes, 5 is one of the three solutions guaranteed for a cubic equation you are forgetting the two complex solutions -- you have done most of the work. x = [-5 ± √(∆) ]/2 = [-5 ± √(-75) ]/2 = [-5 ± √(25 * -1 * 3) ]/2 = [-5 ± 5*i*√ 3]/2 where (by definition) i = √(-1)
IMAGINARIO
X^3=5^3 X=5
Thank You for comments
Totaly crazy guy
That set zero multi zero. Zero multi not zero Not zero multi zeo Empty. And, zeo multi zero is zero necesary the proof Also zero multi not zero is zero proof.
Proof, the first.
Thank you for comments
@선플라워-s3u what are you trying to say ??? perhaps avoid any english and stick to the maths