AP EAMCET · Maths · Quadratic Equation
If \(\alpha, \beta, \gamma\) are the roots of the equation \(3 x^3-9 x^2+5 x-7\), then what is the value of \(\alpha+\beta+\gamma\) ?
- A 3
- B –3
- C 9
- D –9
Answer & Solution
Correct Answer
(A) 3
Step-by-step Solution
Detailed explanation
Given, \(\alpha, \beta, \gamma\) are roots of \(3 x^3-9 x^2+5 x-7=0\) \[ \begin{aligned} \therefore \quad \alpha+\beta+\gamma & =-\frac{b}{a} \\ & =\frac{-(-9)}{3} \\ \alpha+\beta+\gamma & =3 \end{aligned} \quad\left[\begin{array}{l} \because a=3 \\ b=-9 \end{array}\right] \]…
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