Asked by David
Minimizing Sum: Find two positive numbers whose sum is 100 and the sum of whose squares is a minimum.
Answers
Answered by
Reiny
let one number be x
let the other be 100-x
let the sum of their squares be S
S = x^2 + (100-x)^2
find dS/dx
set that equal to zero and solve for x
let the other be 100-x
let the sum of their squares be S
S = x^2 + (100-x)^2
find dS/dx
set that equal to zero and solve for x
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