Difference between revisions of "1960 AHSME Problems/Problem 14"
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| + | [[Category:Introductory Algebra Problems]] | ||
Latest revision as of 18:01, 17 May 2018
Problem
If 
and 
are real numbers, the equation 
has a unique solution 
[The symbol 
means that is different from zero]:
Solution
If the coefficients of the x-terms are equal on both sides, then when the x-terms are subtracted from both sides, the equation results in a number equals 1.
This means the equation has either infinite or no solutions, so the x-terms can not be equal on both sides. Thus, 
, so the answer is 
.
See Also
| 1960 AHSC (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 • 31 • 32 • 33 • 34 • 35 • 36 • 37 • 38 • 39 • 40 | ||
| All AHSME Problems and Solutions | ||
