To find the sum of the roots of the quadratic equation 3x² + 11x + 4 = 0, we can use the formula derived from Vieta’s formulas. For a quadratic equation of the form ax² + bx + c = 0, the sum of the roots (r₁ + r₂) can be calculated using the formula:
Sum of roots = -b/a
In our case, a = 3, b = 11, and c = 4. Plugging the values into the formula gives us:
Sum of roots = -11/3
Thus, the sum of the roots of the equation 3x² + 11x + 4 = 0 is -11/3.