Difference between revisions of "1971 Canadian MO Problems/Problem 4"
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== 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 
such that the two polynomials 
and 
have at least one root in common.
