1976 AHSME Problems/Problem 27
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Contents
Problem
If then equals
Solution 1
Let and Clearly, and are both positive.
Note that from which
On the other hand, note that Finally, the answer is
~Someonenumber011 (Fundamental Logic)
~MRENTHUSIASM (Reconstruction)
Solution 2
Let and Clearly, and are both positive.
Note that Let for some nonnegative rational numbers and We square both sides of this equation, then simplify: It follows that By inspection, we conclude that from which
See also
1976 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 26 |
Followed by Problem 28 | |
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