A Very Nice Math Olympiad Problem | Solve for the value of x? | Algebra Equation

In this video, I'll be showing you step by step on how to solve this Olympiad Maths Algebra problem using a simple trick.

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[thebeast]

To avoid such difficult calculation we can use concept of nth root of unity which says that if x^n=1 then x=e^(2πki/n) where If you put k gretaer than that then roots will starts repeating and also we can simplify them in much nicer form by euler identity which says e^(ix)=cosx+isinx

[YongHowChin]

At a glance, x needs to be 1 to satisfy the equation,

[sairosulaiman]

√9=±3 and √8=±2√2....so there are complex roots too

[hassnaabraim]

this is not math. it's something else 😂😂

[pot_kivach]

When i find something out of bound, i hit Thumb down button. And everything makes sense then.

[chrismcgowan]

x = 1 and very likley solutions with i

[philippedelaveau]

Racine niéme de l’unité. Réponse immédiate sans calcul.

[sairosulaiman]

√9=±3 and √8=±2√2....so there are complex roots too

[sairosulaiman]

√9=±3 and √8=±2√2....so there are complex roots too

[sairosulaiman]

√9=±3 and √8=±2√2....so there are complex roots too