Multiple choice

The difference between the product of the roots and the sum of the roots of the quadratic equation $6x^{2} - 12x + 19 = 0$ is

  1. $\dfrac {7}{6}$
  2. $\dfrac {31}{6}$
  3. $\dfrac {7}{12}$
  4. $\dfrac {31}{12}$
  5. $-\dfrac {7}{6}$
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A Correct answer
Explanation

Product of roots = c/a = 19/6. Sum of roots = -b/a = 12/6 = 2. Difference = 19/6 - 2 = 19/6 - 12/6 = 7/6.