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For what value of k the roots of the equation 3x² - 6x + k = 0 or equal?
  1. 4
  2. 3
  3. 2
  4. None of these
Explanation

For the quadratic equation 3x^2 - 6x + k = 0 to have equal roots, the discriminant b^2 - 4ac must be 0.

Here, a = 3, b = -6, and c = k.

Setting the discriminant to 0 gives (-6)^2 - 4(3)(k) = 0.

Solving this, 36 - 12k = 0, which yields k = 3.

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