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Find all values of  which satisfy x>4

which satisfy \[\sqrt{x - 4 \sqrt{x - 4}} + 2 = \sqrt{x + 4 \sqrt{x - 4}} - 2.\]

 
 Jan 10, 2021
 #1
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Squaring both sides, the equation simplifies to

2(x - 16) = 2*sqrt((x - 16)^2)

 

This is satisfied only for x >= 16, so the solution is [16,inf).

 
 Jan 10, 2021

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