1966 AHSME Problems/Problem 3
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Problem
If the arithmetic mean of two numbers is and their geometric mean is , then an equation with the given two numbers as roots is:
Solution
Let the numbers be and .
.
.
The monic quadratic with roots and is . Therefore, an equation with and as roots is
See Also
1966 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 2 |
Followed by Problem 3 | |
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