SOLUTION: Find 2 numbers whose sum is 40 if the sum of their squares is to be a minimum. What is the minimum?
Algebra.Com
Question 424577: Find 2 numbers whose sum is 40 if the sum of their squares is to be a minimum. What is the minimum?
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
We have two numbers, and and want to minimize the sum , or . The parabola's leading coefficient is positive, so the minimum value occurs at the "vertex," which occurs when . Thus, {20,20} minimizes the sum and this sum is .
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