AoPS Wiki talk:Problem of the Day/June 14, 2011
Problem
AoPSWiki:Problem of the Day/June 14, 2011
Solution
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We multiply both sides by so that the equation is:
Squaring both sides and simplifying, we get:
The solutions to this equation are . However, we plug in in the original equation and find that there is an imaginary number in the expression. So the answer is .