Olympiad Mathematics | Getting the three solutions.

[@billybarzac4526]

X^3/2 = 3^3/2 (X^3/2)² = (3^3/2)² X³ = 3³ X³ - 3³ =0 (X-3)(X²+3X+9) =0 X - 3 = 0 ---> X = 3 Para X² + 3X + 9 , las soluciones son complejas, ∆ = √(9-36) √∆ = √-27 (∆ indica el valor del "discriminante") Soluciones: X = 3 X =(-3+9i)/2; X = (-3-9i)/2

[@Mdk4987]

Il suffit de mettre 2/3 en exposant. X=3

[@hectoraular6180]

X=3 porque cuando los exponentes son iguales las bases también. También se resuelve por logaritmo. Con esta solución lo que hizo fue demostrar porqué es X=3 solución real y que también existen otras soluciones irreales. Un poco desordenado para escribir los cálculos pero se aprende algo.

[@rvqx]

At 5:34 you have squared left and right. By squaring you sometimes introduce a non existing solution. So you must check your answer. And by checking you must not square again or else you might made the same mistake. Please do, i have great expectations.

[@maksimukropien5545]

Variable replacement X^1/2 = Y and we get a quadratic equation Y^2 + (3^1/2)Y + 3 = 0

[@mikezador]

You can square left and right only if it is not negative. Otherwise a=-1 a^2=1 a=1; a=-1 So you artificially added not existing solutions.

[@normanstewart7130]

Why can't you square both sides if x is negative?

[@mikezador]

@@normanstewart7130 Because in this case 1=-1

[@normanstewart7130]

@@mikezador 1=-1?? What?

[@ericmariaud8237]

Les solutions complexes n'annulent pas le polynôme: x + √(3x) + 3 Elles doivent être rejetées. Lorsque vous faites: ( √(3x) = -x - 3 )² vous masquez un signe négatif. x² + 3x + 9 = 0 n'est plus la même égalité. L 'équation: x + √(3x) + 3 = 0 , n' a aucune solution, ni réelle ni complexe. La seule solution au problème initial, est la solution évidente: x = 3

[@hangthuy458]

X^3/2=3^3/2 X=3

[@RealQinnMalloryu4]

4.1 (x ➖ 4x+1).

[@Ennio483]

x✔ x=✔ 3³ x✔ x=✔ 27 x✔ x=3✔ 3 x=3 Pourquoi toute cette subtilité?

[@Патимат-к2т]

О,боже,что творится!С первого взгляда увидела,что показатели степени равны,значит основания тоже равны.х равно 3. Мне 70 лет,не математик.К чему это блеяние, чтобы детям мозг вынести?

[@user-nl8bc3gy7y]

Тут автор ищет не только действительные корни

[@LuciaFátima-l8v]

Obrigada.

[@АндрейЛюбавин-э4щ]

3

[@Misha-g3b]

3 (the main value).

[@ff7113]

thank.. captain obvius...

[@AntoninaKa-es8tv]

Х^3/2= З^3/2; Х✓Х=З✓З; Х=З;

[@AntoninaKa-es8tv]

х=З, при условии, что Х>0.

[@CHEUNGCHOKHIN]

用Log解上述方程式較簡單

[@georgesa7409]

the simple solutio X=3 !!!

[@pkgupts1153]

X=3

[@hassanmorocco9968]

Merci

[@PhilCoolMath]

@@hassanmorocco9968 thanks

[@violetadeliu734]

Nuk e kuptoj ghuhen tuaj. Por matematika fket vete. Shkurt numura me fuqi te barabarte, dnth x=3

[@fusimia-wandong6814]

There is nothing wrong with the English the KZbinr is speaking. His accent is much clearer than that of someone from Wales or Scotland. By your reckoning, the likes of the Late Nelson Mandela didn't speak standard English. This is a case of the pot calling the kettle black. What matters here is the substance and not the style. What happened to the concept-cum-practice of constructive criiticism?

[@dardoburgos3179]

X= 3.

[@victoriasedegan7847]

J’ai pensé à la même réponse ooo. Est ce qu’ils ont trouvé quelque chose de différent?

[@laobernadus5743]

X =:3

[@catchinoyo]

Wenn ich das i schon sehe....

[@alexmaiskiy2763]

Очевидно

[@alexfisher2848]

a^x=b^x a=b x=3.

[@С.Рстак]

Что происходит??? Тебя кто математике учил???

[@sheungchunglam]

your english....

[@DumitruVladescu-st5ep]

Matematica este la fel în întreaga lume, chiar dacă se vorbește altfel.