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5.6 indeed.solving for xd and then substituting back to 3.2 + 5x gives the value.
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\(3.20 + 5xD = 5.80 - (\sqrt{2}x - x)D\)
\(3.2 + 5xD = 5.80 - \sqrt{2}xD + xD\)
\(xD = \frac{2.6}{4+\sqrt{2}}\)
\(xD = 0.49\)

The price: 3.2 + 5 (.49) = 5.65

Answer: 5.6

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