Proofathon Algebra

The time has come! My favorite subject and one of the most highly-requested topics: Proofathon Algebra. We've compiled a nice set of problems for you, so come on and stop by at proofathon.org, and while you're at it, support us on our Facebook page.

For those of you new to Proofathon, we have monthly Olympiad-level proof-based contests that are based on a certain topic each month. There are 8 problems ranging in difficulty from introductory to difficult. Hence, we encourage all to submit solutions to any problems you can do. Good luck, Proofathoners!

#Algebra #Proofathon

Easy Math Editor

This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.

When posting on Brilliant:

Use the emojis to react to an explanation, whether you're congratulating a job well done , or just really confused .
Ask specific questions about the challenge or the steps in somebody's explanation. Well-posed questions can add a lot to the discussion, but posting "I don't understand!" doesn't help anyone.
Try to contribute something new to the discussion, whether it is an extension, generalization or other idea related to the challenge.
Stay on topic — we're all here to learn more about math and science, not to hear about your favorite get-rich-quick scheme or current world events.

Markdown	Appears as
`italics` or `_italics_`	italics
`bold` or `__bold__`	bold
- bulleted - list	bulleted list
1. numbered 2. list	numbered list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1 paragraph 2	paragraph 1 paragraph 2
`[example link](https://brilliant.org)`	example link
`> This is a quote`	This is a quote
# I indented these lines # 4 spaces, and now they show # up as a code block. print "hello world"	# I indented these lines # 4 spaces, and now they show # up as a code block. print "hello world"

Math	Appears as
Remember to wrap math in `$` ... `$` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$

Comments

If you share a problem, that would help new members understand what Proofathon problems are like.

P.S. I updated your link to http://proofathon.org. If you do not include http://, then it will link to brilliant.org/proofathon.org.

Calvin Lin Staff - 7 years, 4 months ago

Here's a problem from the last contest, Geometry:

In $\triangle ABC$ , let $A_1$ and $A_2$ be on $\overline{BC}$ such that $BA_1=A_1A_2=A_2C$ , and define $B_1$ , $B_2$ , $C_1$ , and $C_2$ similarly. We construct $A_3$ , $B_3$ , and $C_3$ on the exterior of $\triangle ABC$ such that $\triangle A_1A_2A_3$ , $\triangle B_1B_2B_3$ , and $\triangle C_1C_2C_3$ are equilateral triangles. Show that $\triangle A_3B_3C_3$ is equilateral.

This one comes from Nicolae.

NOTE: This is NOT a live contest problem, so you are free to discuss the problem if you wish.

Logan Dymond - 7 years, 4 months ago

I like how that penultimate line is so original. #IPhOO

Ahaan Rungta - 7 years, 4 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$