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The sun of the roots of 3x^2+11x-4=0

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ax^2+bx+c=0\\\\x_1,\ x_2-the\ roots\\\\x_1+x_2=(-b)/(a)\\-------------------------\\\text{We have}\ 3x^2+11x-4=0\\\\a=3,\ b=11,\ c=-4\\\\\text{Substitute:}\\\\x_1+x_2=(-11)/(2(3))=-(11)/(6)\\\\Answer:\ \boxed{-(11)/(6)}

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