Question

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

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

Answer 1

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

Answer 2

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