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A bit challenging problem on complex numbers
Problem: If $latex \omega$ and $latex \omega^{2}$ satisfy the equation $latex \frac{1}{a+x}+\frac{1}{b+x}+\frac{1}{c+x}+\frac{1}{d+x} = \frac{2}{x}$ then find the value of $latex \frac{1}{a+1} + \f…