AP EAMCET · Maths · Quadratic Equation
If \(\alpha_1, \alpha_2\) and \(\alpha_3\) are the roots of \(x^3+3 x+2=0\), then \(\alpha_1^5+\alpha_2^5+\alpha_3^5=\)
- A -30
- B 6
- C -6
- D 30
Answer & Solution
Correct Answer
(D) 30
Step-by-step Solution
Detailed explanation
Since, \(\alpha_1, \alpha_2 \& \alpha_3\) are the roots of \(x^3+3 x+2=0\). \(\begin{aligned} & \therefore \alpha_1+\alpha_2+\alpha_3=0 \\ & \alpha_1 \alpha_2+\alpha_2 \alpha_3+\alpha_3 \alpha_1=3 \\ & \alpha_1 \alpha_2 \alpha_3=-2\end{aligned}\) Now,…
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