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      Question

      If [a + (1/a) ] = 10, then find the value of

      [a4 + (1/a4) ].
      A 9,602 Correct Answer Incorrect Answer
      B 9,604 Correct Answer Incorrect Answer
      C 9,600 Correct Answer Incorrect Answer
      D 9,606 Correct Answer Incorrect Answer

      Solution

      a + (1/a) = 10 On squaring both sides, we have; [a + (1/a) ]2┬а= 102 Using (a + b)2┬а= a2┬а+ 2ab + b2 a2┬а+ (1/a2) + 2 = 100 Or, a2┬а+ (1/a2) = 98 Again, on squaring both sides, we have; [a2┬а+ (1/a2) ]2┬а= 982 Or, a4┬а+ (1/a4) + 2 = 9,604 Or, a4┬а+ (1/a4) = 9,604 - 2 = 9,602

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