I'm trying to follow the idea behind Lagrange multipliers as given in the following wikipedia link.(adsbygoogle = window.adsbygoogle || []).push({});

http://en.wikipedia.org/wiki/Lagrange_multipliers

I follow the article right up until the point where it goes:

'To incorporate these conditions into one equation, we introduce an auxiliary function:'

*<insert formula seemingly plucked from random here>*

There doesn't seem to be any explanation or reason why this formula was chosen, and the 'justification' section just repeats what the constraints are, but still doesn't say where the formula comes from...

any ideas?

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# Problem understading lagrange multipliers

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