France | Can you solve this ?

France | Can you solve this ? | Math Olympiad

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5 ай бұрын

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Пікірлер: 85

@mannmasterm Ай бұрын

You are such a good teacher with clear solutions , thanks 😀

@arunsanghvi6139 5 ай бұрын

Simple solution. 1. Given a + b = 5 2. Test using a=3 and b=2 Gives x = 81

@user-er9wj9nv8m 5 ай бұрын

Yes I believe to your solution is the same mine

@herissmon9878 5 ай бұрын

thats guess and check, if the value is a decimal or irrational, that wont work

@kimobrien. 3 ай бұрын

@@herissmon9878 X=16 and X=81

@yvonneciemniak5957 2 ай бұрын

Even logisch nadenken... X kan om te beginnen niet gelijk zijn aan 0 X kan ook niet groter zijn dan 97 Hierdoor blijft alleen 2+3=3+2=5 over => X=16 en/of 81 Zonder veel poespas

@josejutuba5548 2 ай бұрын

Pero eso es champear utilizando cualquier número en el exámen de seguro te va pedir eso te va pedir una solución lógica

@kimobrien. 3 ай бұрын

X can not be greater than 97 because otherwise 4th root of 97-X would result in an imaginary value. Only three integers powers of four are less than 97. 81, 16 and 1 substituting it looks like X equals 81 and X equals 16 both give an answer of 5 for he original equation.

@ghosh9903 3 ай бұрын

Nice. Simple procedure though can be solved by other way.

@user-pi2my7vk5j 12 күн бұрын

Задание интересное!

@user-ec4ip7bp1n 23 күн бұрын

You are a good teacher❤❤

@theLordsboy 5 ай бұрын

Such a methodical teacher! Thanks

@Yureka-ox5jn 17 күн бұрын

Thanks❤

@davidwoodhead1037 24 күн бұрын

Very clever

@lahcenlamrabet 5 ай бұрын

Right idea but too long démonstration .for exemple when you have a+b=s & ab=p we go directly to the équation t^2-st+p=0 and so many others quick steps

@user-ro3pd5dj1z 4 ай бұрын

Thanks... I think.... it's long solution..... I admitted that you are excellent at the maths .

@user-er9wj9nv8m 5 ай бұрын

Hi thanks but I find a easy solution. No need to so long solution

@mariapiapiro3718 3 ай бұрын

Anche non capisco perché ha fatto così

@olgaa8310 3 ай бұрын

Pls show it bec this is so complicated

@NITian875 3 ай бұрын

I have solved in less than 3 minutes you can watch on Math_java KZbin channel@@olgaa8310

@walczacyrys826 Ай бұрын

@@olgaa8310there is no margin on which he could write it.

@nagarajahshiremagalore226 20 күн бұрын

Sole : X cube - y cube = xy + 61

@MusicDJ174 3 ай бұрын

Cool👍

@learncommunolizer 3 ай бұрын

Thank you very much!!

@E.h.a.b 5 ай бұрын

I think it will be easier if you put x=a^4 then move (a) to other side of equation then raise both sides to power of 4 then simplify. You will get a^4 + 10 a^3 + 75 a^2 + 250 a + 264 = 0 (a+2)(a+3) (a^2 + 5 a + 44) =0 a = -2 -> x = (-2)^4 =16 a=-3 -> x = (-3)^4 = 81

@valeriyabakumov1652 3 ай бұрын

И здесь решается путём подбора в уме без бумаги и карандаша.

@gmeier391 3 ай бұрын

Nice solution but presentation is way too detailed and time consuming. I'm sure mose viewers can see where the various reorginizations, sums and factoring, etc can be done in one line (two at the most). Good presentation but work on brevity please.

@Ginkobil50 2 ай бұрын

When you know, that ab=6, you should remenber that a+b=5. The rest is easy.

@user-dq3uh6ee5w Ай бұрын

16, 81.

@Lars_Porsenna Ай бұрын

16? Сумма не превышает 5. Числа целые. От 0 до 3, так как 4⁴>97,. а(0...3) корень 4 степени из разности 97-а⁴ должен давать Целое число при извлечении 4 степени. Такое число 2 и 3 Следовательно х=2⁴=16, х=3⁴=81

@xaviersoenen4460 4 ай бұрын

Les racines complexes x=(97±63i√ 3775)/2

@rabotaakk-nw9nm 3 ай бұрын

👍❤, but 3775=25×151 => => x=(97±315i×sqrt(151))/2

@user-gh8gk3xo7u 2 ай бұрын

А теоремой Виетта у вас не пользуются?

@user-dv8gv3hu4t 5 ай бұрын

Solution by insight 2+3=5, x=16 3+2=5, x=81

@vaibhavmittal6442 5 ай бұрын

It's not given that x is only a whole number it can be fractional nd if x is fractional a and b will also be fractional

@rosariobravo9165 5 ай бұрын

@@vaibhavmittal6442Cierto. Las ecuaciones son como la foto del escenario de un crimen y los simplistas buscamos la solución evidente que no siempre es tan fácil. 2+3 o 3+2 dan 5 (otras opciones pero pocas viendo el escenario/ecuación). El procedimiento de resolución del profesor es impecable por abarcar otras posibilidades no tan fáciles como esta.

@vaibhavmittal6442 5 ай бұрын

@@rosariobravo9165 yeah it's true but we cannot get all the solutions

@kimobrien. 3 ай бұрын

@@vaibhavmittal6442 Imaginary solutions are excluded because of the use of the root sign. So X must be between less than 97 but greater than zero. If you were to solve this graphically with the sum of two functions equaling five. You would see that there are two functions with curves going in the opposite direction. This first function rises in a curve from x=0 and y=0 slowly x=1 y=1; x=16 y=2; x=81 y=3; x=256 y=4 while the other falls in a similar curve x=0 y

@user-qr7dw4hk6x 2 ай бұрын

Меньше десяти секунд на решение этоц олимпиадной задачи.

@user-yq2uf1si4c 5 ай бұрын

81=97-16

@user-lf1bm8fm2g 5 ай бұрын

Очень четкий и грамотный ответ. Браво-бровисимо.

@TWJRPGGamming 5 ай бұрын

2,-2,2i,-2i

@user-nd7th3hy4l 8 күн бұрын

X=16

@sankariraman6453 5 ай бұрын

What abt x=16or 81

@sankariraman6453 5 ай бұрын

No leave

@olgaa8310 3 ай бұрын

Too complicated for my 73 yr old brain to comprehend

@user-xc5os4ep3n Ай бұрын

Можно просто 5 возвести в четвертую степень

@bonitokumar4977 3 ай бұрын

Olympiad time over .

@doowadiwadi 2 ай бұрын

Way too easy to be a Math Olympiad question.

@DonaldKim33 2 ай бұрын

When I asked Chatgpt, x is about 32.86.

@pholdway5801 29 күн бұрын

nought divided by two ? That is CONFUSING to an idiot such as me

@user-lf1bm8fm2g 5 ай бұрын

Африканец с аналитикой молодец.

@kienbui6262 5 ай бұрын

@essa2902 3 ай бұрын

@khalifauduman5598 3 ай бұрын

When we have numbers 0,1 to infinite, why we have to substitute numbers with alphabets. It looks so stupid. May be are giving job opportunities for maths teachers.