Difference between revisions of "1952 AHSME Problems/Problem 47"
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\textbf{(E) } 4,9,3 </math> | \textbf{(E) } 4,9,3 </math> | ||
| − | == Solution == | + | == Solution #1 - Fast and Easy Solution== |
| + | The easiest method, which in this case is not very time consuming, is to guess and check and use process of elimination. | ||
| + | We can immediately rule out (B) since it does not satisfy the third equation. | ||
| + | The first equation allows us to eliminate (A) and (C) because the bases are different. | ||
| + | Finally, we manually check (D) and (E) and see that our answer is <math>\fbox{D}</math> | ||
| + | |||
| + | |||
| + | == Solution #2 | ||
<math>\fbox{}</math> | <math>\fbox{}</math> | ||
Revision as of 20:36, 22 December 2015
Problem
In the set of equations 
, the integral roots in the order 
are:
Solution #1 - Fast and Easy Solution
The easiest method, which in this case is not very time consuming, is to guess and check and use process of elimination.
We can immediately rule out (B) since it does not satisfy the third equation.
The first equation allows us to eliminate (A) and (C) because the bases are different.
Finally, we manually check (D) and (E) and see that our answer is 
== Solution #2
See also
| 1952 AHSC (Problems • Answer Key • Resources) | ||
| Preceded by Problem 46 |
Followed by Problem 48 | |
| 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 | ||
These problems are copyrighted © by the Mathematical Association of America, as part of the American Mathematics Competitions. 
