# Skunky Maxima

**Geometry**Level 4

Given that

\[\large \mathbb S= \bigg | \sqrt {x^2 +4 x+5}-\sqrt {x^2+2 x+5} \bigg |\]

for all real values of \(x\). Find the maximum value of \(\mathbb S^4\).

Given that

\[\large \mathbb S= \bigg | \sqrt {x^2 +4 x+5}-\sqrt {x^2+2 x+5} \bigg |\]

for all real values of \(x\). Find the maximum value of \(\mathbb S^4\).

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