## Excel in math and science

### Master concepts by solving fun, challenging problems.

## It's hard to learn from lectures and videos

### Learn more effectively through short, conceptual quizzes.

## Our wiki is made for math and science

###
Master advanced concepts through explanations,

examples, and problems from the community.

## Used and loved by over 5 million people

###
Learn from a vibrant community of students and enthusiasts,

including olympiad champions, researchers, and professionals.

Easy Math Editor

`*italics*`

or`_italics_`

italics`**bold**`

or`__bold__`

boldNote: you must add a full line of space before and after lists for them to show up correctlyparagraph 1

paragraph 2

`[example link](https://brilliant.org)`

`> This is a quote`

Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.`2 \times 3`

`2^{34}`

`a_{i-1}`

`\frac{2}{3}`

`\sqrt{2}`

`\sum_{i=1}^3`

`\sin \theta`

`\boxed{123}`

## Comments

Sort by:

TopNewestif any one can help me i would really appreciate it

Log in to reply

Solution by observation: \(x=3\). That makes our equation \(3=1+\omega^{3}+\omega^{6}\) which is true.

Log in to reply

Thanks i have already knew that but actually i was trying to find a more mathematical or algebric proof , you know something probably includes the logarithms and using only variables instead of this logic proof so i would be grateful if u can help me :)

Log in to reply

Solve x = 1 + w^x + w^(2*x) , where 1 , w , w^2 are the roots of unity

Log in to reply