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Find two positive numbers such that their product is 180 and the sum of the first number squared plus twice times the second is a minimum.

Find two positive numbers such that their product is 180 and the sum of the first number squared plus twice times the second is a minimum.
asked 144k views
12 votes
Find two positive numbers such that their product is 180 and the sum of the first number squared plus twice times the second is a minimum.

asked
User Emobe
by
8.0k points

1 Answer

6 votes

Answer:

3 and 60

Explanation:

3 × 60 = 180

180 = 180

3² + 2(60)

= 9 + 120

= 129 minimum

answered
User Hitendra
by
8.2k points
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