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Explanation:

The graph of the function 52 – 2x2 will be of ‘inverted U’ shape, while the graph of the function y = 5x will be a straight line with a positive slope.

Therefore, the minimum value of the required function will be obtained at a point of intersection of y = 52 – 2x2 and y = 5x.

Therefore, 52 – 2x2 = 5x or 2x2 + 5x – 52 = 0.

∴ (x - 4)(2x + 13) = 0

∴ x = 4 or x = -132

Since x is a positive real number, x = 4.

At x = 4, 5x = 52 – 2x2 = 20

Hence, 20.

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