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      Question

      If (a + b) = 17 and (a2 + b2) =

      145, then find the value of (a × b).
      A 68 Correct Answer Incorrect Answer
      B 70 Correct Answer Incorrect Answer
      C 72 Correct Answer Incorrect Answer
      D 64 Correct Answer Incorrect Answer

      Solution

      (a + b) = 17 Squaring on both sides, we get, a2 + b2 + 2ab = 289 Or, 145 + 2ab = 289 Or, 2ab = 289 – 145 = 144 Or, ab = 144/2 = 72

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