1979 AHSME Problems/Problem 2
Contents
[hide]Problem 2
For all non-zero real numbers and such that equals
Solution 1
Moving all variables to one side of the equation, we can use Simon's Favorite Factoring Trick to factor the equation into Plugging in and as the and sides respectively, we get and . Plugging this in to gives us as our final answer.
Solution 2
Notice that we can do . We are left with . Multiply by to achieve .
See also
1979 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 1 |
Followed by Problem 3 | |
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