Question

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



{-8, 6}

{-8, 4}

{-6, 4}

Answer 1

(x+1)^2=
x^2+2x+1
plug in each set.

Answer 2

am i just using the first number of the set or????

Answer 3

@AEB047

Answer 4

\[(x+1)^2=25\]That means that (x+1) represents a number which when multiplied with itself gives you 25. I'm sure you know that 5 is one of those numbers. But there is another number as well, can you tell me what it is?

Answer 5

-5?

Answer 6

Yes. So that means we have two equations to solve for \(x\):

\[x+1 = 5\]\[x+1=-5\]The two values you get are the solution set.

Answer 7

oh wow thanks dood

Answer 8

You betcha. Test out your values in the original equation to make sure they are correct.

Answer 9

so c

Answer 10

i didnt know it was that simple