The sum of the root of 3x^2+11x-4=0

Option (a) is correct.

The sum of roots of given quadratic equation

Step-by-step explanation:

Given quadratic equation

We have to find the sum of roots.

Consider the given quadratic equation

For a given standard quadratic equation , we have

Sum of roots is given by

and product of roots is given by

Thus, for the  given quadratic equation

a = 3 , b = 11 , c = 4

So, the sum of roots is given by

Substitute, we get,

Thus, The sum of roots of given quadratic equation

-22

times both sides by 2, times () by 8, add alile terms, move terms, add alike and caculate divide both sides by 3