Solve the Absolute Value Equation or Indicate That the Equation $\left| x ^ { 2 } - 4 x + 4 \right| = 2$

question 275

Multiple Choice

Solve the absolute value equation or indicate that the equation has no solution.
- $\left| x ^ { 2 } - 4 x + 4 \right| = 2$

• A) \(\{ 2 - \sqrt { 2 } , 2 + \sqrt { 2 } \}\)
• B) \(\{ 2 - \sqrt { 2 } \}\)
• C) \(\{ 2 + \sqrt { 2 } \}\)
• D) \(\varnothing\) Find all values of x satisfying the given conditions.

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