Difference between revisions of "1987 OIM Problems/Problem 5"
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Revision as of 12:54, 13 December 2023
Problem
If 
, 
, and 
are all the roots of the equation:
![\[x(x-2)3x-7)=2\]](http://latex.artofproblemsolving.com/1/7/2/1725d618bea9139962705cbb901973e42fbe129d.png)
(a) Prove that , , and are all postive
(b) Calculate: arctan + arctan + arctan .
Note: We define arctan 
, as the arc between 
and 
which tangent is .
Solution
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