Exams › SSC CGL (Prelims) › General

The cubic equation x^3 - 9x^2 + 14x - 8 = 0 has roots alpha, beta and gamma. What is the value of alpha + beta + gamma?

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

Correct answer: 9

Solution

By Vieta's formulas, the sum of the roots of x^3 - 9x^2 + 14x - 8 = 0 equals the negative of the coefficient of x^2, which is -(-9) = 9.

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