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      Question

      (u - 5) 2 + (v + 2) 2 + (w –

      4) 2 = 0, then find the value of 4u - v + w.
      A 26 Correct Answer Incorrect Answer
      B -26 Correct Answer Incorrect Answer
      C 12 Correct Answer Incorrect Answer
      D 16 Correct Answer Incorrect Answer

      Solution

      If (u - 5) 2 + (v + 2) 2 + (w – 4) 2 = 0, then (u = 5), (v = -2), and (w = 4).

      So,
      - u - 5 = 0 β†’ u = 5
      - v + 2 = 0 β†’ v = -2
      - w - 4 = 0 β†’ w = 4

      Therefore, required value:
      4(5) - (-2) + 4 = 20 + 2 + 4 = 26

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