Difference between revisions of "1971 Canadian MO Problems/Problem 4"

 
(Problem)
Line 1: Line 1:
 
== Problem ==
 
== Problem ==
Determine all real numbers <math>a</math> such that the two polynomials <math>\displaystyle x^2+ax+1</math> and <math>\displaystyle x^2+x+a</math> have at least one root in common.  
+
Determine all real numbers <math>\displaystyle a</math> such that the two polynomials <math>\displaystyle x^2+ax+1</math> and <math>\displaystyle x^2+x+a</math> have at least one root in common.
  
 
== Solution ==  
 
== Solution ==  

Revision as of 16:21, 26 July 2006

Problem

Determine all real numbers $\displaystyle a$ such that the two polynomials $\displaystyle x^2+ax+1$ and $\displaystyle x^2+x+a$ have at least one root in common.

Solution


Invalid username
Login to AoPS