2002 AMC 12P Problems/Problem 23
Problem
The equation has a zero of the form , where and are positive real numbers. Find
Solution
Note that . With this observation, it becomes easy to note that is a root of the given equation. However, it is not of the desired form in the problem, so we must factor the given expression to obtain the other 2 roots.
Expanding , we have . We may factor it as .
See also
2002 AMC 12P (Problems • Answer Key • Resources) | |
Preceded by Problem 22 |
Followed by Problem 24 |
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All AMC 12 Problems and Solutions |
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