Question

Determine the solution set of (x + 1)^2 = 25.



{-8, 6}

{-8, 4}

{-6, 4}

Answer 1

If you square root both sides, you get x+1=+or-5

Answer 2

Make sense so far?

Answer 3

ya

Answer 4

So, now you have 2 equations. x+1=5 and x+1=-5

Answer 5

Can you solve from there?

Answer 6

\[(x+1)^2 = 25\]
Take the square root on both sides.
\[\sqrt{(x+1)^2} = \pm \sqrt{25} = \pm 5\]

Why is it \(\pm\) ? Because both \((+5)^2 ~~and~~ (-5)^2\) give 25.

So,

\[(x+1) = \pm 5\]
\[x = \pm 5 - 1\]

Getting this? :)

Answer 7

4 an -6

Answer 8

Good job :)

Answer 9

dude long distance high five

Answer 10

*high five :)