(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

(1/7)x + (1/11)y = 1 and (6/7)x =(10/11)y

3. The attempt at a solution

I'm doing this problem and we have to do it based on speculated babylonian approach which involves setting x and y equal half the semiperimeter and plus or minus a change in the side of lengths, i/e

x = a/2 + z y = a/2 - z

I'm also trying to really understand this problem area wise, like how it could've been solved involving quadratics.

when I insert the respective formulas

(1/7)(1/2 + z) + 1/11(1/2 - z) = 1

i get x = 35/2 and y = -33/2

this isnt the answer in the book, which is

x = 35/4 and y = 33/4

how can I use the relation of (x - y)^2 = (x +y)^2 - 4xy

does it allow to write (6/7x - 10/11y)^2 = (1/7x + 1/11y)^2 - 4xy?

i know how to find the answer through substitutions but babylonians used the above identy in early multiplication

also, is it possible to construct a "completing the square" diagram in this problem?

thanks!

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Babylonian approach to math

Can you offer guidance or do you also need help?

Draft saved
Draft deleted

**Physics Forums | Science Articles, Homework Help, Discussion**