Question

Determine the solution set of (x + 1)2 = 25. {-8, 6} {-8, 4} {-6, 4}

Answer 1

The solution set is {-6,4}

Explanation:

Given:
`(x+1)^2=25`

We will solve for x and find solution set.

`(x+1)^2=25`

Taking square root both sides

`√((x+1)^2)=\pm √(25)`

`x+1=\pm 5`

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}

Answer 2

( 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 }