2006 Cyprus MO/Lyceum/Problem 16
Problem
If are the roots of the equation , then are the roots of the equation
A.
B.
C.
D.
E.
Solution
By Vieta’s, .
The equation with roots is . Substituting from above, we get .
See also
2006 Cyprus MO, Lyceum (Problems) | ||
Preceded by Problem 15 |
Followed by Problem 17 | |
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