Difference between revisions of "1952 AHSME Problems/Problem 45"
(Created page with "== Problem == If <math>a</math> and <math>b</math> are two unequal positive numbers, then: <math>\text{(A) } \frac{2ab}{a+b}>\sqrt{ab}>\frac{a+b}{2}\qquad \text{(B) } \sqrt{ab...") |
(→Solution) |
||
Line 10: | Line 10: | ||
== Solution == | == Solution == | ||
− | <math>\fbox{ | + | Using the RMS-AM-GM-HM inequality, we can see that the answer is <math>\fbox{E}</math> |
== See also == | == See also == |
Revision as of 16:33, 9 July 2015
Problem
If and are two unequal positive numbers, then:
Solution
Using the RMS-AM-GM-HM inequality, we can see that the answer is
See also
1952 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 44 |
Followed by Problem 46 | |
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 • 31 • 32 • 33 • 34 • 35 • 36 • 37 • 38 • 39 • 40 • 41 • 42 • 43 • 44 • 45 • 46 • 47 • 48 • 49 • 50 | ||
All AHSME Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.