Question

Select whether the equation has a solution or not.

Answer 1

The answer is:  [A]:  "roots".
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  Note:  √(x+5) = 4 ;

Square each side:

[√(x+5)] ²  = 4²  ;

x + 5 = 16 ; 

Subtract "5" from each side of the equation; 

x + 5 - 5 = 16 - 5 ;

to get:  x = 11 ; 

So, yes; there is a solution.
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