MathDB
Problem B1

Source: 2019 Malaysia OMK

August 21, 2019
algebra

Problem Statement

Given three nonzero real numbers a,b,c,a,b,c, such that a>b>ca>b>c, prove the equation has at least one real root. 1x+a+1x+b+1x+c−3x=0\frac{1}{x+a}+\frac{1}{x+b}+\frac{1}{x+c}-\frac{3}{x}=0
@below sorry, I believe I fixed it with the added constraint.
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