sum of roots of the equation $\dfrac{3x^{3}-x^{2}+x-1}{3x^{3}-x^{2}-x+1}=\dfrac{4x^{3}-7x^{2}+x+1}{4x^{3}+7x^{2}-x-1}$ is :

Answer is C.

Applying componendo dividendo rule on both sides. We will get roots as 0,-3,2

Sum of roots = -3 + 2 + 0 = -1

For detailed solution, refer here.

https://www.doubtnut.com/question-answer/let-the-root-of-equation-3x3-x2-x-1-3x3-x2-x-14x3-7x2-x-1-4x3-7x2-x-1-be-x1x2x3-then-the-value-of-x1-5983