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Given that $a^2 + b^2 + c^2 = 6\;$, determine the minimum value of $ab + bc + ca\;$.

I know that $a^2 + b^2 + c^2 ≥ ab + bc + ca\;$, so that means $6 ≥ ab + bc + ca\;$, but I don't know where to go from there.

  • 0
    Are you familiar with Lagrange multipliers?2012-07-23
  • 0
    Sorry, I am not familiar with that.2012-07-23

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