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Let \(a,b\) and \(c\) be nonzero real numbers such that \(\frac{1}{a} + \frac{1}{b} + \frac{1}{c} = 0.\) Compute \(\frac{bc}{a^2} + \frac{ac}{b^2} + \frac{ab}{c^2}.\)

 Mar 1, 2020
 #1
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To be honest, I would just plug in values.

Let a = 2, b = 2, and c = -1.

Then simply solve.

 Mar 1, 2020
 #2
avatar+29249 
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Systematic way as follows:

 

 

(However, CoolStuffYT's way works as well!)

 Mar 1, 2020
edited by Alan  Mar 1, 2020
 #3
avatar+108679 
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Thanks Alan,

I was wondering how to do that one formally.

 

Thanks Coolstuff too :)

Melody  Mar 1, 2020

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