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Method 1: To take square roots and consider positive/negative values.
Method 2: To solve the quadratic equation with roots 12 and -8
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SajjadAhmad
If (x − 2)^2 = 100, which of the following could be the value of x + 2 ?

A. −10
B. −8
C. −6
D. 10
E. 12

Similar question to practice: https://gmatclub.com/forum/if-x-1-2-144 ... 23593.html
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SajjadAhmad
If (x − 2)^2 = 100, which of the following could be the value of x + 2 ?

A. −10
B. −8
C. −6
D. 10
E. 12

We can simplify the given equation:

√(x − 2)^2 = √100

|x - 2| = 10

We can now solve for when (x - 2) is positive and when it is negative.

When (x - 2) is positive:

x - 2 = 10

x = 12

When (x - 2) is negative:

-(x - 2) = 10

-x + 2 = 10

-x = 8

x = -8

Thus, x + 2 could equal 12 + 2 = 14 or -8 + 2 = -6.

Answer: C
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