Exams › SSC CGL (Prelims) › General

If the cubic equation $x^3 - 9x^2 + 14x - 8 = 0$ has roots $\alpha, \beta, \gamma$, then find the value of $\alpha + \beta + \gamma$.

1. 8
2. 9
3. 14
4. -9

Correct answer: 9

Solution

For a cubic equation $x^3+ax^2+bx+c=0$, the sum of roots is $\alpha+\beta+\gamma=-a$. Here the coefficient of $x^2$ is $-9$, so the sum of roots is $9$.

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