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      Question

      If (a + b) = 8 and ab = 10, then find the value of

      (a2 + b2).
      A 56 Correct Answer Incorrect Answer
      B 60 Correct Answer Incorrect Answer
      C 34 Correct Answer Incorrect Answer
      D 44 Correct Answer Incorrect Answer

      Solution

      According to the question,

      (a + b)2 = 82

      Or, a2 + b2 + 2ab = 64

      Or, a2 + b2 + 20 = 64

      So, a2 + b2 = 64 - 20 = 44

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