Respuesta :

For this case we have the following expression:
 [tex] \sqrt{x+3} + 4 = 5 [/tex]
 To solve it, we follow the following steps:
 We subtract 4 on both sides of the equation:
 [tex] \sqrt{x+3} + 4 - 4 = 5 - 4 [/tex]
 We rewrite the expression:
 [tex] \sqrt{x+3} = 1[/tex]
 We square both sides of the equation:
 [tex] (\sqrt{x+3})^2 = 1^2[/tex]
 [tex] x+3 = 1 [/tex]
 We subtract 3 on both sides of the equation:
 [tex] x + 3- 3 = 1 - 3 [/tex]
 We rewrite the expression:
 [tex] x= - 2[/tex]
 Answer:
 
The solution of the equation is:
 
[tex] x= - 2[/tex]
√(x + 3) + 4 = 5

first subtract 4 from both sides to isolate the x.

√(x + 3) + 4 (-4) = 5 (-4)


√(x + 3) = 5 - 4


√(x + 3) = 1

Next, get rid of the root by squaring both sides


(√(x + 3))² = (1)²

x + 3 = 1

Finally, isolate the x. Subtract 3 from both sides

x + 3 (-3) = 1 (-3)

x = 1 - 3

x = -2

x = -2 is your answer

hope this helps
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