Two positive numbers #x, y# have a sum of 20. What are their values if one number plus the square root of the other is a) as large as possible, b) as small as possible?
1 Answer
Oct 6, 2017
Maximum is
Minimum is
Explanation:
Given:
Find
To obtain the max number, we would need to maximize the whole number and minimize the number under the square root:
That means:
To obtain the min number, we would need to minimize the whole number and maximize the number under the square root:
That is: