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Answered

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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

Sagot :

ItsDingy

Answer:

x=5, x=-9

Step-by-step 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

chetankachana

Answer:

A and B

5 and -9

Step-by-step explanation:

Remember this formula : [tex]\sqrt{x^2} = |x|[/tex]

Solve:

  • [tex](x+2)^2 = 49\\[/tex]
  • [tex]\sqrt{(x +2)^2} = \sqrt{49}[/tex]
  • [tex]|x + 2| = 7[/tex]

Case 1:

  • [tex]|x + 2| = 7[/tex]
  • [tex]x + 2 = 7[/tex]
  • [tex]x = 5[/tex]

Case 2:

  • [tex]|x+2| = -7\\[/tex]
  • [tex]x + 2 = -7[/tex]
  • [tex]x = -9[/tex]

The answers are [tex]\boxed{\text{A}}[/tex] and [tex]\boxed{\text{B}}[/tex]

-Chetan K

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