1986 AIME Problems/Problem 1
Problem
What is the sum of the solutions to the equation ?
Solution
Let . Then we have , or, by simplifying,
This means that or .
Thus the sum of the possible solutions for is .
See also
1986 AIME (Problems • Answer Key • Resources) | ||
Preceded by First Question |
Followed by Problem 2 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
All AIME Problems and Solutions |
- AIME Problems and Solutions
- American Invitational Mathematics Examination
- Mathematics competition resources
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.