Mastering Olympiad Mathematics
A collection of intriguing competition level problems for secondary school students.
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prove that is the case
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Showing posts with label
prove that is the case
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Monday, August 17, 2015
Evaluate a+2b.
Suppose that there exist two positive real numbers $a$ and $b$ such that $(a-2) (a^2+2a-18)+ab(2a+b+18)-96+2(b-2)(b+3)(b+2)=0$.
Evaluate $a+2b$.
My solution:
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