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    • Question

      If (x + y + z) = 14 and (xy + yz + zx) = 50, then find the

      value of (x² + y² + z²).
      A 60 Correct Answer Incorrect Answer
      B 16 Correct Answer Incorrect Answer
      C 28 Correct Answer Incorrect Answer
      D 96 Correct Answer Incorrect Answer

      Solution

      ATQ,

      As we know,


      (x + y + z)² = x² + y² + z² + 2(xy + yz + zx)


      Or, (14)² = x² + y² + z² + 2 × (50)


      So, x² + y² + z² = 196 – 100 = 96



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