Sum of Reciprocals
Algebra
Level
3
Given
\[\begin{align} a+b+c +d & = 0 \\ abcd & = 1 \\ a^3 + b^3 + c^3 + d^3 & = 1983 \\ \end{align} \]
What is the value of \( \frac {1}{a} + \frac {1}{b} + \frac {1}{c} + \frac {1}{d} \)?
by
Calvin Lin