# Squared and reversed

**Algebra**Level 4

\[\large 3a^2+2b^2+c^2\]

Given that \(a,b\) and \(c\) are positive real numbers satisfying \(a+2b+3c=\dfrac{1}{2}\), find the minimum value of the expression above.

Give your answer in 3 significant figures.

\[\large 3a^2+2b^2+c^2\]

Given that \(a,b\) and \(c\) are positive real numbers satisfying \(a+2b+3c=\dfrac{1}{2}\), find the minimum value of the expression above.

Give your answer in 3 significant figures.

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