SOLUTION: two numbers have a difference of 20. find the numbers if the sum of their squares is a minimum. Thanks.

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Question 308915: two numbers have a difference of 20. find the numbers if the sum of their squares is a minimum. Thanks.
Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
1 and 21 becomes 1+441=442
0 and 20 becomes 400
-10 and 10 becomes 200 has to be -10 and 10
because they are 20 from each other and the 9 and -11 is 202, so 200 is the minimum sum
%2810%29-20=%28-10%29 and 10%5E2%2B%28-10%29%5E2=200
highlight%2810%29andhighlight%28-10%29