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Question: The product of two numbers is 34. Find the sum of the two numbers S(x) as a function of one of th...
The product of two numbers is 34. Find the sum of the two numbers S(x) as a function of one of the numbers, x.
S(x) =
Find the positive numbers that minimize the sum and list them in increasing order:
(smaller number)=?
(larger number)=?
Let c be the smaller of the two numbers that minimize the sum. Then
c =?
S (c) = ? and
S"(c) = ?
1 Answer
- davidLv 74 years ago
Question: The product of two numbers is 34. Find the sum of the two numbers S(x) as a function of one of th...
The product of two numbers is 34. Find the sum of the two numbers S(x) as a function of one of the numbers, x.
====== 1xt number is x ... 2nd number = 34/x
S(x) = x + 34/x
S' = 1 + (-34/x^2) = 0
x^2 = 34
x = sqrt 34
34/x = sqrt 34
sum = 2 sqrt(34)
