Math Olympiad | A Nice Algebra Problem | What is the values of "k" in this problem ?

[@Moe-g7o]

Great explanation of a very involved problem

[@edeastburn3614]

Regarding the substitution 10=8+2. So, basically, if you already know the answer you can get the answer. Brilliant.

[@SquidwardTentacles_0]

it because there is k³ and we know that 2³=8. so it makes the calculation easier

[@edeastburn3614]

@@SquidwardTentacles_0 That's the same as saying that we know the answer is two because 2x2x2+2=10. It's a shortcut, requiring knowledge or intuition outside of the solution to the problem.

[@tedr.5978]

Yes, most of these higher power exponent algebra problems on youtube require you to already know at least one of the real number solutions.

[@cyruschang1904]

k^3 + k - 10 = 0 (k - 2)(k^2 + 2k + 5) = 0 k = 2, -1 +/- 2i

[@에스피-z2g]

Excellent

[@cyruschang1904]

@에스피-z2g Thank you

[@ВераТимофеева-ч5п]

Ученик Советской школы решали такой пример за несколько минут. И то они уходили на оформление . Но за ролик спасибо! Кому-то он будет полезен!

[@Marc-gj9vx]

Guessing the answer with extra steps.

[@孫偉僑]

K=2，K*K*K+K=2*2*2+2=10

[@sajibhossain7991]

2*2*2+2=8+2=10 That is K=2

[@НатальяЖиронова]

2. Это не олимпиадная задача 😂

[@pedrojuan7390]

(K-2)=1 why?

[@nicolaslhomme2117]

K= couple

[@prakashjugati8703]

K=2

[@bobegan2121]

2

[@DebdasBandyopadhyay-yq5jg]

⁴

[@АндрейКожевников-о8й]

К=2

[@АндрейКожевников-о8й]

Комплексные корни в данном уравнении не интересны.

[@jevans2090]

k = 2

[@cabasantbab]

2