Question

a(b-c)^4 + b(c-a)^4 +c(a-b)^4 = 836. find sum of all possible values of c where a, b and c are integers.

Note by Shiven Mian
5 years ago

No vote yet
0 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

Please give a mathematical solution.

Shiven Mian - 5 years ago

Log in to reply

I am not genius in mathematics but i am capable of providing alternative solution for some problems in math using simple computer algorithm. Not to offend you, but the days of Fermat and Euler had past already, we are now in the age of Bill Gates and late Steve Jobs. :)

Mharfe Micaroz - 5 years ago

Log in to reply

for a in range(-100,100):

for b in range(-100,100):

    for c in range(-100,100):

        if a*((b-c)**4)+b*((c-a)**4)+c*((a-b)**4)==836:

            print a, b, c
yielded the results [(-2 ,1, 3),(-2, 3 ,1),(1 ,-2 ,3),(1 ,3, -2),(3, -2 ,1),(3, 1,-2)] and the sum of all possible values of c is 4. (Note: I ran the code in python 2.7 interpreter)

Mharfe Micaroz - 5 years ago

Log in to reply

×

Problem Loading...

Note Loading...

Set Loading...