1966 AHSME Problems/Problem 33
Problem
If and , the number of distinct values of satisfying the equation
is:
Solution
Let and then we have Notice that the equation is possible iff or .
If then Which yields solution for .
If then Solving the quadratic gets another solutions for .
Thus there are solutions in total.
~ Nafer
See also
1966 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 32 |
Followed by Problem 34 | |
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