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      Question

      What are the values of k, if the roots of the equation

      xยฒ + 2(k - 4)x + 2k = 0 are equal?
      A 3, 2 Correct Answer Incorrect Answer
      B 5, 2 Correct Answer Incorrect Answer
      C 6, 3 Correct Answer Incorrect Answer
      D 8, 2 Correct Answer Incorrect Answer

      Solution

      Given, the roots of the equation xยฒ + 2(k - 4)x + 2k = 0 are equal. When roots are equal then bยฒ = 4ac โ‡’ [2(k - 4)]ยฒ = 4 * 1 * 2k โ‡’ 4(k - 4)ยฒ = 8k โ‡’ kยฒ - 8k + 16 = 2k โ‡’ kยฒ - 10k + 16 = 0 โ‡’ (k - 2) (k - 8) = 0 โ‡’ k = 2, 8

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