Posted by **Steven** on Wednesday, March 27, 2013 at 7:06pm.

If a, b and c are non-zero reals such that a + b + c = 11 and \frac {1}{a} + \frac {1}{b} +\frac {1}{c} = 0, what is the value of a^2 + b^2 + c^2?

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