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      Question

      (x โ€“ 4)2 + (y + 3) 2 + (z โ€“

      5) 2 = 0, then find the value of 2x + 3y โ€“ z.
      A -6 Correct Answer Incorrect Answer
      B 6 Correct Answer Incorrect Answer
      C 12 Correct Answer Incorrect Answer
      D 18 Correct Answer Incorrect Answer

      Solution

      If (x โ€“ 4)2 + (y + 3) 2 + (z โ€“ 5) 2 = 0, then (x = 4), (y = -3), and (z = 5).

      So,
      - x - 4 = 0 โ†’ x = 4
      - y + 3 = 0 โ†’ y = -3
      - z - 5 = 0 โ†’ z = 5

      Therefore, required value:
      2(4) + 3(-3) - 5 = 8 โ€“ 9 ย โ€“ 5 ย = -6

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