Multiple choice

The sum and product of the roots of the equation 3x2 - 2x - 6 = 0 are

  1. 2/3, - 2
    • 2/3, 2

  3. 2, - 2/3
    • 2, - 2/3
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A Correct answer
Explanation

For ax^2 + bx + c = 0, sum of roots = -b/a, product = c/a. Here a=3, b=-2, c=-6. Sum = -(-2)/3 = 2/3. Product = -6/3 = -2.

AI explanation

For a standard quadratic equation ax^2 + bx + c = 0, the sum of the roots is -b/a and the product of the roots is c/a. Substituting a = 3, b = -2 and c = -6 gives the sum as -(-2)/3 = 2/3 and the product as -6/3 = -2.

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