find the points on the curve x^2+xy+y^2=16 which one nearest and farthest from the origin using lagranges multipliers method

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
Chapter9: Systems Of Linear Equations
Section9.1: The Graphing Method
Problem 24WE
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find the points on the curve x^2+xy+y^2=16 which one nearest and farthest from the origin using lagranges multipliers method

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