The key to simplifying monstrous equations

Main post link -> https://brilliant.org/i/qT4TKa/

This problems leads to a huge equation,

4(a+b+c) +2(ab+bc+ac)+abc=1741

Can I get some help from you guys solving it.. I got lazy and solved it with Python, but that surely isn't the best way..

Note by Aasif Khan
5 years, 3 months ago

No vote yet
3 votes

  Easy Math Editor

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold

- bulleted
- list

  • bulleted
  • list

1. numbered
2. 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 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"
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} \( \boxed{123} \)

Comments

Sort by:

Top Newest

apply Vieta's formula and form an equation whose roots are a,b and c.......

Kiran Patel - 5 years, 3 months ago

Log in to reply

A problem can have more than 1 solution. There is a very pretty way of looking at it. Think about how to use the condition that \(a, b, c\) are integers.

Note that your \(a, b, c\) do not correspond to the \(a, b, c\) in the question.

Calvin Lin Staff - 5 years, 3 months ago

Log in to reply

then what to do cALVIN, can you give a hint,so that i CAN PROCEED...........and please check whether I am correct or not ................

Kiran Patel - 5 years, 3 months ago

Log in to reply

I know I might sound a bit, naive, but you're actually saying that solving this equation is pretty easy, all I need to do is find the right way to look at it!!

Aasif Khan - 5 years, 3 months ago

Log in to reply

Hint: see if you can factorize \(4(p+q+r)+2(pq+qr+rp)+pqr+8\). ;)

Arkan Megraoui - 5 years, 3 months ago

Log in to reply

×

Problem Loading...

Note Loading...

Set Loading...