Mastering Olympiad Mathematics
A collection of intriguing competition level problems for secondary school students.
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problem solver
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Showing posts with label
problem solver
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Monday, May 4, 2015
Heuristic Method for Solving Hard System
Solve the system
$\dfrac{1}{x}+\dfrac{1}{y+z}=\dfrac{1}{2}$
$\dfrac{1}{y}+\dfrac{1}{x+z}=\dfrac{1}{3}$
$\dfrac{1}{z}+\dfrac{1}{x+y}=\dfrac{1}{4}$
Method II (Heuristic and satisfactory solution):
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