mat6ovalcor2shuaM mat6ovalcor2shuaM

19-11-2016
Mathematics

Answered

Find two positive numbers whose product is 225 and whose sum is a minimum

Verified Answer :

syed514 syed514

20-11-2016

Let S = x + y.

Since xy = 225, y = 225/x.

Substitute into the sum to get
S = x + 225/x.
Then
S' = 1 - 225/x^2, implying that 15/x = 1.

Then x = 15.
The other number is also 15.

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