Question

The sum of the roots of 3x 2 + 11x - 4 = 0 is

-11/3
-4/3
11/3
4/3

Answer 1

The correct option is 1.

Explanation:

If a quadratic equation is defined as

`ax^2+bx+c=0` .... (1)

Then the sum of the roots is -b/a and the product of roots is c/a.

The given equation is

`3x^2+11x-4=0` ... (2)

From (1) and (2) we get a=3, b=11 and c=-4.

The sum of roots is

`(-b)/(a)=-(11)/(3)`

The sum of roots is
`-(11)/(3)`.

Therefore the correct option is 1.