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      Question

      If (a + b) = 7 and ab = 10, then find the value of (a

      2  + b 2 ).
      A 19 Correct Answer Incorrect Answer
      B 29 Correct Answer Incorrect Answer
      C 9 Correct Answer Incorrect Answer
      D 39 Correct Answer Incorrect Answer

      Solution

      According to the question,

      (a + b) 2  = 7 2

      Or, a 2  + b 2  + 2ab = 49

      Or, a 2  + b 2  + 20 = 49

      So, a 2  + b 2  = 49 - 20 = 29

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