MathDB
Problems
Contests
National and Regional Contests
Russia Contests
Soros Olympiad in Mathematics
V Soros Olympiad 1998 - 99 (Russia)
10.3
5x^6 - 16x^4 - 33x^3 - 40x^2 +8 = 0 (V Soros Olympiad 1998-99 Round 1 10.3)
5x^6 - 16x^4 - 33x^3 - 40x^2 +8 = 0 (V Soros Olympiad 1998-99 Round 1 10.3)
Source:
May 25, 2024
algebra
Problem Statement
Find two roots of the equation
5
x
6
−
16
x
4
−
33
x
3
−
40
x
2
+
8
=
0
,
5x^6 - 16x^4 - 33x^3 - 40x^2 +8 = 0,
5
x
6
−
16
x
4
−
33
x
3
−
40
x
2
+
8
=
0
,
whose product is equal to
1
1
1
.
Back to Problems
View on AoPS