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Find all $a$ such that $\sqrt {(a+2)^2} + \sqrt {(a-2)^2} = 4$

 Jan 5, 2021
 #1
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We can rewrite this as

 

l a + 2  l  +  l a - 2 l   = 4

 

Solving this graphicaly  where a   =  x    ⇒  https://www.desmos.com/calculator/rxwvtu2txd

 

The solution is that     a  =  [ -2, 2 ]

 

cool cool cool  

 Jan 5, 2021

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