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In the equation x2 - 5x + 6 = 0, what is the value of the discriminant?

  1. 0

  2. 5

  3. 6

  4. 11

The correct answer is: 11

The discriminant is the part of the quadratic formula that is located under the square root sign. It is used to determine the nature of the roots in a quadratic equation. In this case, the value of the discriminant is 25 - 4(1)(6) = 25 - 24 = 1. This means that there are two distinct real roots, indicating that the quadratic equation has two solutions. Option A, 0, would indicate only one real root, which is incorrect. Option B, 5, and option C, 6, are both factors in the equation, but they are not the actual value of the discriminant. Therefore, option D is the correct answer.