Respuesta :

sqrt(x+5)= 5
(x+5)=5^2
x+5=25
x=25-5
x=20
The correct answer is:  [A]:  " x = 20 " .
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Explanation:
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Given:
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  √(x +5) = 5  ;  Solve for "x" .
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 "Square" EACH SIDE of the equation ; 
       that is;  raise EACH SIDE of the equation to the 2nd power ;
       to get rid of the "square root" on the "left-hand side" of the equation ;
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            [ √(x + 5) ] ²  =  (5)²   ;
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to get:    (x + 5) = 25 ;
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        ↔   x + 5 = 25 ;

               Subtract "5" from EACH SIDE of the equation ;
to isolate "x" on one side of the equation ; and to solve for "x" ;

              x + 5 − 5 = 25 − 5  ;
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to get:         x = 20 which is:  Answer choice:  [A] .
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