Welcome to our community

Be a part of something great, join today!

Unsolved Challenge System of Equations

  • Thread starter
  • Admin
  • #1

anemone

MHB POTW Director
Staff member
Feb 14, 2012
3,802
Find all the real numbers $a,\,b$ and $c$ that satisfy the following system of equations:

$\begin{align*}a + b + c &= 1\\ \dfrac{a}{ 1 - a}+\dfrac{b}{1 - b} + \dfrac{c}{1 - c} &= 6ac + 6bc = (a + 1)(b + 1)\end{align*}$
 

topsquark

Well-known member
MHB Math Helper
Aug 30, 2012
1,157
Ick! :sick:

-Dan