Difference between revisions of "1995 AHSME Problems/Problem 14"
Talkinaway (talk | contribs) |
|||
Line 25: | Line 25: | ||
[[Category:Introductory Algebra Problems]] | [[Category:Introductory Algebra Problems]] | ||
+ | {{MAA Notice}} |
Revision as of 13:59, 5 July 2013
Contents
Problem
If and
, then
Solution 1
.
Thus .
Solution 2
If , then
. Simplifying, we get
.
Getting an expression for , we find
. Since the first two terms sum up to zero, we get
, which is answer
See also
1995 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 13 |
Followed by Problem 15 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 | ||
All AHSME Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.