Find the sum of the roots of the quadratic equation

​$$x^2 + 19x + 60 = 0$$​​

Correct option is A

Given:

Given equation =$$x^2 + 19x + 60 = 0$$​​

Formula Used:

For finding the roots we use:

Quadratic formula :$$x =\frac{ -b \pm \sqrt{b^2 - 4ac}}{2a}$$​​

Solution:

Given equation =$$x^2 + 19x + 60 = 0$$​​

​$$x =\frac{ -(19) \pm \sqrt{(19)^2 - 4(1)(60)}}{2(1)}$$​​

​$$x =\frac{ -(19) \pm \sqrt{361 - 240}}{2}$$​​

​$$x =\frac{ -(19) \pm \sqrt{121}}{2}$$​​

​$$x= \frac{-19 + 11}{2} \text { or x } = \frac{-19 -11}{2}$$​​

x =-4 or x = -15

Sum of roots = -4 + (-15) = -19