Showing posts with label form a quartic equation as the product of two quadratic equations. Show all posts
Showing posts with label form a quartic equation as the product of two quadratic equations. Show all posts

Monday, August 10, 2015

IMO Solving System Of Equation Problem (Heuristic Solution)

Solve the following system of equations in real $a,\,b,\,c,\,d$:

$a+b=9$

$ab+c+d=29$

$ad+bc=39$

$cd=18$

Heuristic solution: