×

# Why do we fall?So we may rise again!

This question is as a somewhat sequel to a question from my dear friend Kazem Sepehrinia where he used a brand-new method in solving his diophantine equation.At that point, I failed to understand what he meant but now after a bit of studying I'm starting to get into the flow of things.Yesterday I came across this problem as an example in one of my books and thought I could share that with you guys.

$$\quad$$

• Prove that an infinitely many number of Natural triplets $$(x,y,z)$$ satisfy the following equation:(Brazil - 1996)

$$\quad$$

$$x^2+y^2+z^2 = 3xyz$$

$$\quad$$

Credits to :Kazem Sepehrinia for sharing his awesome problem

Note by Arian Tashakkor
2 years, 8 months ago

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold
- bulleted- list
• bulleted
• list
1. numbered2. list
1. numbered
2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1paragraph 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"
MathAppears 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} $$\boxed{123}$$