Question

Solve for x.


`√(x + 5 )` = 5 .

A) x = 20
B) x = 25
C) x = 0
D) x = 5

Answer 1

The correct answer is: [A]: " x = 20 " .
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Step-by-step 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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Answer 2

sqrt(x+5)= 5
(x+5)=5^2
x+5=25
x=25-5
x=20