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Triple Trouble
How many triples $(a,b,c)$ of Real Numbers,which satisfy these two equations?
$ a^2 + b^2 + c^2=1$ and $a(2b-2a-c)≥\frac{1}{2}$
Equation
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How many triples $(a,b,c)$ of Real Numbers,which satisfy these two equations?
$ a^2 + b^2 + c^2=1$ and $a(2b-2a-c)≥\frac{1}{2}$
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