Multiple choice

The roots of the equation $\displaystyle \left ( 2+x \right )^{2}=16$ are

  1. $\displaystyle \pm 4$
  2. $-6, 2$
  3. $6, -2$
  4. $6,2$
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B Correct answer
Explanation

Solving (2+x)^2 = 16 gives 2+x = 4 or 2+x = -4. This leads to x = 2 or x = -6.

AI explanation

To solve (2 + x)^2 = 16, take the square root of both sides to get 2 + x = 4 or 2 + x = -4. For the first case, subtracting 2 from both sides gives x = 2. For the second case, subtracting 2 gives x = -6. Therefore, the roots of the equation are -6 and 2.

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