MathDB
Problems
Contests
National and Regional Contests
Vietnam Contests
Hanoi Open Mathematics Competition
2012 Hanoi Open Mathematics Competitions
10
Compute The values
Compute The values
Source:
January 24, 2016
Problem Statement
Suppose that the equation
x
3
x^3
x
3
+p
x
2
x^2
x
2
+qx+1 = 0; with p; q are rational numbers, has 3 real roots
x
1
x_1
x
1
;
x
2
x_2
x
2
;
x
3
x_3
x
3
; where
x
3
=
2
+
5
x_3 = 2 +\sqrt{5}
x
3
=
2
+
5
; compute the values of p and q?
Back to Problems
View on AoPS