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System of Equations

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April 2, 2013
inequalitiesalgebra

Problem Statement

If a,b,ca,b,c are real numbers such that a2+2b=7a^2+2b=7, b2+4c=−7b^2+4c=-7, and c2+6a=−14c^2+6a=-14, find a2+b2+c2a^2+b^2+c^2.
<spanclass=′latex−bold′>(A)</span>14<spanclass=′latex−bold′>(B)</span>21<spanclass=′latex−bold′>(C)</span>28<spanclass=′latex−bold′>(D)</span>35<spanclass=′latex−bold′>(E)</span>49<span class='latex-bold'>(A) </span>14\qquad<span class='latex-bold'>(B) </span>21\qquad<span class='latex-bold'>(C) </span>28\qquad<span class='latex-bold'>(D) </span>35\qquad<span class='latex-bold'>(E) </span>49
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