2002 AMC 10B Problems/Problem 12
Problem
For which of the following values of does the equation have no solution for ?
Solution
The domain over which we solve the equation is .
We can now cross-multiply to get rid of the fractions, we get .
Simplifying that, we get . Clearly for we get the equation which is never true. The answer is
For other , one can solve for : , hence . We can easily verify that for none of the other 4 possible values of is this equal to or , hence there is a solution for in each of the other cases.
-Edited by XxHalo711 (typo within the solution)
See Also
2002 AMC 10B (Problems • Answer Key • Resources) | ||
Preceded by Problem 11 |
Followed by Problem 13 | |
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All AMC 10 Problems and Solutions |
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