The sum of the roots of 3x² + 11x - 4 = 0 is

Solution:

The given quadratic equation is

3x² + 11x - 4 = 0 

By splitting the middle term

3x² - x + 12x - 4 = 0

Taking out the common terms

x (3x - 1) + 4 (3x - 1) = 0

(3x - 1) (x + 4) = 0

So we get

3x - 1 = 0 and x + 4 = 0

3x = 1 and x = -4

x = 1/3 and x = -4

Sum = 1/3 - 4 = (1 - 12)/3 = -11/3

Therefore, the sum of the roots is -11/3.

---

The sum of the roots of 3x² + 11x - 4 = 0 is

Summary:

The sum of the roots of 3x² + 11x - 4 = 0 is -11/3.