Find the minimum value of (x1−x2)2+(20x12−(17−x2)(x2−13))2 where x1∈R+,x2∈(13,17).

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Question

Find the minimum value of $(x_{1} - x_{2})^{2} + (\frac{x _{1}^{2}}{20} - (17 - x_{2}) (x_{2} - 13))^{2}$ where $x_{1} \in R^{+}, x_{2} \in (13, 17)$ .

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Elijah Discussed

Find the minimum value of

(x_{1} - x_{2})^{2} + (\frac{x _{1}^{2}}{20} - (17 - x_{2}) (x_{2} - 13))^{2}

where

x_{1} \in R^{+}, x_{2} \in (13, 17)

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Question Text

Find the minimum value of

(x_{1} - x_{2})^{2} + (\frac{x _{1}^{2}}{20} - (17 - x_{2}) (x_{2} - 13))^{2}

where

x_{1} \in R^{+}, x_{2} \in (13, 17)