Ask Question
14 September, 05:33

Find two positive numbers whose sum is 100 and the sum of whose squares is a minimum.

+4
Answers (1)
  1. 14 September, 05:39
    0
    Let the two required numbers be x and 100 - x, then

    Sum of its squares is given by S = x^2 + (100 - x) ^2

    For the sum of the squares to be minimum, dS/dx = 0

    dS/dx = 2x - 2 (100 - x) = 0

    2x - 200 + 2x = 0

    4x = 200

    x = 50.

    The two numbers is 50 and 50.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “Find two positive numbers whose sum is 100 and the sum of whose squares is a minimum. ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers