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4 votes
Find the solution(s) to (x + 2)2 = 49. Check all that apply.

wa
A. X = 5
B. x = -9
C. X = -5
0 D. X = -7
E. x = 7

User Vkosyj
by
8.6k points

2 Answers

13 votes

Answer:

x=5, x=-9

Explanation:

I am assuming the "x+1" is squared since there is more than one answer.

x+2=7

x+2=-7

x=5, x=-9

User Rsimp
by
9.4k points
4 votes

Answer:

A and B

5 and -9

Explanation:

Remember this formula :
√(x^2) = |x|

Solve:


  • (x+2)^2 = 49\\

  • √((x +2)^2) = √(49)

  • |x + 2| = 7

Case 1:


  • |x + 2| = 7

  • x + 2 = 7

  • x = 5

Case 2:


  • |x+2| = -7\\

  • x + 2 = -7

  • x = -9

The answers are
\boxed{\text{A}} and
\boxed{\text{B}}

-Chetan K

User Ivva
by
8.8k points

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