Singapore Math | Solve the rational equation | (Math Olympiad Training) |

Подписаться 411 тыс.

Просмотров 9 тыс.

50% 1

Can you solve the rational equation for x?
Today I will teach you tips and tricks to solve the given olympiad math question in a simple and easy way. Learn how to prepare for Math Olympiad fast!
Step-by-step tutorial by PreMath.com
• Singapore Math | Solve...
Need help with solving this Math Olympiad Question? You're in the right place!
I have over 20 years of experience teaching Mathematics at American schools, colleges, and universities. Learn more about me at
/ premath
Singapore Math | Solve the rational equation | (Math Olympiad Training) | #math #maths #algebra
Olympiad Mathematical Question! | Learn Tips how to solve Olympiad Question without hassle and anxiety!
#SolveForX #RationalEquations #SingaporeMathOlympiad #OlympiadMathematics #OlympiadPreparation #CollegeEntranceExam #RationalEquation #Rational
#PreMath #PreMath.com #MathOlympics #HowToThinkOutsideTheBox #ThinkOutsideTheBox #HowToThinkOutsideTheBox? #RadicalEquation #Radical #Radicals #SquareRoot
#OlympiadMathematicalQuestion #HowToSolveOlympiadQuestion #MathOlympiadQuestion #MathOlympiadQuestions #OlympiadQuestion #Olympiad #AlgebraReview #Algebra #Mathematics #Math #Maths
#MathOlympiadPreparation #LearntipstosolveOlympiadMathQuestionfast #OlympiadMathematicsCompetition #MathOlympics #SolveSystemofEquations
#blackpenredpen #MathematicalOlympiad #MathOlympiadTraining #SyberMath #MindYourDescisions #SolveForX #LearnHowToSolveTheExponentialEquation #Mathematical #OlympiadMathematics
How to solve Olympiad Mathematical Question
How to prepare for Math Olympiad
How to Solve Olympiad Question
How to Solve international math olympiad questions
international math olympiad questions and solutions
international math olympiad questions and answers
olympiad mathematics competition
blackpenredpen
math olympics
olympiad exam
olympiad exam sample papers
math olympiad sample questions
math olympiada
British Math Olympiad
olympics math
olympics mathematics
olympics math activities
olympics math competition
Math Olympiad Training
How to win the International Math Olympiad | Po-Shen Loh and Lex Fridman
Po-Shen Loh and Lex Fridman
Number Theory
There is a ridiculously easy way to solve this Olympiad qualifier problem
This U.S. Olympiad Coach Has a Unique Approach to Math
The Map of Mathematics
mathcounts
math at work
exponential equation
system of equations
solve system of equations
solve the equation
Learn how to solve exponential equation quickly
pre math
Olympiad Mathematics
Solve for X
Solve and Check
Radical Equation
Radical
Radicals
Square Root
coolmath
my maths
mathpapa
mymaths
cymath
sumdog
multiplication
ixl math
deltamath
reflex math
math genie
math way
math for fun
Subscribe Now as the ultimate shots of Math doses are on their way to fill your minds with the knowledge and wisdom once again.

Опубликовано:

16 сен 2024

Ссылка:

Скачать:

Готовим ссылку...

Добавить в:

Мой плейлист

Посмотреть позже

Комментарии : 61

@marcelowanderleycorreia8876 5 месяцев назад

Very interesting question!!! Thank You for posting!!!

@PreMath 5 месяцев назад

Glad you enjoyed it! You are very welcome! Thanks ❤️

@marcgriselhubert3915 5 месяцев назад

It is a first degree equation (form a.x + b = 0, with a and b given reals, a 0, and x the unknown real we are searching), so it has one and only one real solution. As x = 2028 is an evident solution, then x = 2028 is the only solution.

@PreMath 5 месяцев назад

Excellent! Thanks for sharing ❤️

@TurquoizeGoldscraper 5 месяцев назад

I saw the answer immediately, but I watched anyway because I wanted to see the steps to formally solve it. Another good video.

@PreMath 5 месяцев назад

Excellent! Glad to hear that! Thanks ❤️

@pk2712 5 месяцев назад

It is not hard to prove that x=2028 is the correct answer . Subtract 4 from both sides of the equation . On the right hand side , you get zero . On the left hand side ( here is the tricky way to subtract 4 from the left hand side ) , subtract 2021/2021 from the first fraction , then subtract 2022/2022 from the second fraction , then subtract 2023/2023 from the third fraction , finally subtract 2024/2024 from the fourth fraction . You can then factor out (x-2028) on the left hand side to get the equation (x-2028)(1/2021 +1/2022 + 1/2023 + 1/2024)=0 ---> simple to see that x=2028 must be the answer . I thought of this proof before watching the video . First I thought of getting a common denominator ; but , that is way to complicated and it doesn't really get you anywhere . Then , I thought of the trick .

@Skank_and_Gutterboy 5 месяцев назад

Yep, you can see that moving left to right, given a fixed x, the numerator and denominator of each expression march up by 1. So, if you pick an x so that the first expression equals 1, each successive expression will equal 1. Four expressions added equals 4. You can solve this one by observation.

@misterenter-iz7rz 5 месяцев назад

Divide 4 into 1+1+1+1, and turn to the left, we get (x-2028)×(1/2021+1/2022+1/2023+1/2024), so x=2028.😊

@PreMath 5 месяцев назад

Excellent! Thanks for sharing ❤️

@raya.pawley3563 5 месяцев назад

Thank you

@PreMath 5 месяцев назад

You are very welcome! Thanks ❤️

@alster724 5 месяцев назад

Amazing!

@iMvJ27 5 месяцев назад

x= 2028 by Just mere looking 💪

@guptapr 5 месяцев назад

How? Could you please explain?

@bigm383 5 месяцев назад

I know, but it’s soothing listening to the Professor.

@iMvJ27 5 месяцев назад

@@guptapr observation buddy... And heck of solving such maths questions... Also I'm preparing for various government exam so I know how to beat such question. My biggest hint for solving this question is RHS 4 and it's whole number too. So I just 🤔... what goes in x to satisfying this equation.. I simply add 2021+7 = 2028 (in first) I had to bring 1 anyhow in 1st term .. so fulfilling my desired result 1+ 1 +1 + 1

@PreMath 5 месяцев назад

Thanks for sharing ❤️

@kinyutaka 5 месяцев назад

@@guptaprx-4/2024 + x-5/2023 (let's ignore the rest right now) If x = 2028, then 2028-4=2024 and 2028-5=2023 And it is quick to see that the others match the same pattern. 1+1+1+1=4

@jamestalbott4499 5 месяцев назад

Thank you!

@PreMath 5 месяцев назад

You are very welcome! Thanks ❤️

@Reddogovereasy 5 месяцев назад

Please perform further equations demonstrating the creation and use of constants, thank you.

@PreMath 5 месяцев назад

Keep watching... You are very welcome! Thanks ❤️

@LuisdeBritoCamacho 5 месяцев назад

What, if : 4 = 1 + 1 + 1 + 1. Conjecture : 1 + 1 + 1 + 1 = 4 Then : [(X - 7) / 2021] = [(X - 6) / 2022] = [(X - 5) / 2023] = [(X - 4) / 2024] = 1 Let's try to prove it!! 1) (X - 7) = 2021 ; X = 2021 + 7 ; X = 2028 2) (X - 6) = 2022 ; X = 2022 + 6 ; X = 2028 3) (X - 5) = 2023 ; X = 2023 + 5 ; X = 2028 4) (X - 4) = 2024 ; X = 2024 + 4 ; X = 2028 5) Is, X = 2028, the only Real Solution?

@PreMath 5 месяцев назад

Excellent! Thanks for sharing ❤️

@gramagezapata 5 месяцев назад

Otra posible forma de resolverlo: (x-7+3)/(2021+3) + (x-6+2)/(2022+2) + (x-5+1)/(2023+1) + (x-4)/(2024) = 4 ----------> (4x-16)/(2024) = 4 ---------> (x-4)/(2024) = 1 --------> x = 2028

@klemensf.7625 5 месяцев назад

(x-7)/(2028-7) + (x-6)/(2028-6) + (x-5)/(2028-5) + (x-4)/(2028-4) = 4; each of these 4 fractions = 1, so x = 2028.

@PreMath 5 месяцев назад

Thanks for sharing ❤️

@zdrastvutye 5 месяцев назад

how about this? 10 print "premath singapore math challenge" 20 z=4+7/2021+6/2022+5/2023+4/2024:n=1/2021+1/2022+1/2023+1/2024 print z/n premath singapore math challenge 2028 > run in bbc basic sdl and hit ctrl tab to copy from the results window

@Teamstudy4595 5 месяцев назад

Ans: x = 2028

@PreMath 5 месяцев назад

Excellent! Thanks for sharing ❤️

@wackojacko3962 5 месяцев назад

I wouldn't say I solved this problem with Singapore Math. I have a very strong Common Core State Standard I adhere too so I can think outside the box so to speak and I guess @ 7:50 I recognize a Constant when I see one . That must be the Singapore in me. 🙂

@PreMath 5 месяцев назад

😀 Thanks for sharing ❤️

@prossvay8744 5 месяцев назад

(x-7)-/2021-1+(x-6)/2022-1+(x-5)/2023-2+(x-4)/2024-1=o (x-2028)/2022+(x-2028)/2022+(x-2028)/2023+(x-2028)/2024=0 So x-2028=0 x=2028.❤❤❤❤

@PreMath 5 месяцев назад

Excellent! Thanks for sharing ❤️

@unknownidentity2846 5 месяцев назад

No calculators allowed? Then expert view might help: . .. ... .... ..... (x − 7)/2021 + (x − 6)/2022 + (x − 5)/2023 + (x − 4)/2024 = 4 (x − 7)/(2028 − 7) + (x − 6)/(2028 − 6) + (x − 5)/(2028 − 5) + (x − 4)/(2028 − 4) = 4 Therefore all fractions become 1 with x=2028 and since 1+1+1+1=4 our solution is: x = 2028 Best regards from Germany

@PreMath 5 месяцев назад

Great! Thanks for sharing ❤️

@nihalverma1554 5 месяцев назад

Just subtract 1 in each term

@WhiteGandalfs 5 месяцев назад

That's actually a joke question. After first brute forcing and making an unfindable mistake in the umber crunching, i resorted to looking at the "whole thing" and became aware that all 4 terms on the LHS have to be 1, making it jokingly easy to spot the solution. What i am impressed about is the way PreMath made a "hard way" out of the trivially easy one.

@PreMath 5 месяцев назад

Thanks for the feedback❤️

@Waldlaeufer70 5 месяцев назад

First, it looked difficult, but then I realized that 1 + 1 + 1 + 1 = 4. Therefore, x must be 2028. Why? 2028 - 7 = 2021, 2028 - 6 = 2022, 2028 - 5 = 2023 and 2028 - 4 = 2024 => 2021/2021 + 2022/2022 + 2023/2023 + 2024/2024 = 1 + 1 + 1 + 1 = 4 x = 2028

@PreMath 5 месяцев назад

Excellent! Thanks for sharing ❤️

@MousumiDasgupta-w4p 5 месяцев назад

Hello second here 🥈

@PreMath 5 месяцев назад

Great! Thanks ❤️

@andryvokubadra2644 Месяц назад

(x-7)/2021 + (x-6)/2022 + (x-5)/2023 + (x-4)/2024 = 4 ====================== (x-7)/2021 + (x-6)/2022 + (x-5)/2023 + (x-4)/2024 = 1+1+1+1 x-7/2021 = 1 x-7 = 2021 x = 2028 x-6/2022 = 1 x-6 = 2022 x = 2028 x-5/2023 = 1 x-5 = 2023 x = 2028 x-4/2024 = 1 x-4 = 2024 x = 2028 So x = 2028 8:46

@abytebit 5 месяцев назад

3 seconds, then the answer is obvious

@sagarvishwakarma2774 5 месяцев назад

2028

@PreMath 5 месяцев назад

Excellent! Thanks for sharing ❤️

@Greenmachine305 5 месяцев назад

Why did it take 9 minutes to explain this? I would bet most people can solve this just by looking at the video description. I didn't do all that to get the same answer in 3 seconds.