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27. Find a positive number for which the sum of it and its reciprocal is the smallest (least) possible.

27. Find a positive number for which the sum of it and its reciprocal is the smallest (least) possible.

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter5: Factoring Polynomials
Section5.13: Using Factoring To Solve Problems
Problem 30P
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27. Find a positive number for which the sum of it and its reciprocal is the smallest (least) possible. 28. The 2-m wall shown here stands 5 m from the building. Find the length of the shortest straight beam that will reach to the side of the building from the ground outside the wall. 29. The strength S of a rectangular wooden beam is proportional to its width times the square of its depth. (See the accompanying figure.) Find the dimensions of the strongest beam that can be cut from a 30-cm-diameter cylindrical log.
Transcribed Image Text:27. Find a positive number for which the sum of it and its reciprocal is the smallest (least) possible. 28. The 2-m wall shown here stands 5 m from the building. Find the length of the shortest straight beam that will reach to the side of the building from the ground outside the wall. 29. The strength S of a rectangular wooden beam is proportional to its width times the square of its depth. (See the accompanying figure.) Find the dimensions of the strongest beam that can be cut from a 30-cm-diameter cylindrical log.
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