Respuesta :

HomertheGenius
( x + 1 )² = 25  /√
There are two solutions:
x + 1 = 5,      x = 5 - 1,  x = 4
x + 1 = - 5 ,   x = -5 -1,  x = -6
The solution set is { -6, 4 }
isyllus

Answer:

The solution set is {-6,4}

Step-by-step explanation:

Given: [tex](x+1)^2=25[/tex]

We will solve for x and find solution set.

[tex](x+1)^2=25[/tex]

Taking square root both sides

[tex]\sqrt{(x+1)^2}=\pm \sqrt{25}[/tex]

[tex]x+1=\pm 5[/tex]

x+1=5      or        x+1=-5

x=5-1       or        x=-5-1

x=4          or       x=-6

The solution are x=-6,4

Hence, The solution set is {-6,4}

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