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

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

Answer 2

Answer:

A and B

5 and -9

Step-by-step explanation:

Remember this formula : $\sqrt{x^2} = |x|$

Solve:

• $(x+2)^2 = 49$
• $\sqrt{(x +2)^2} = \sqrt{49}$
• $|x + 2| = 7$

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