TS EAMCET · Maths · Quadratic Equation
If \(\alpha, \beta, \gamma\) are the roots of the equation \(2 x^3-3 x^2+5 x-7\) \(=0\), then \(\sum \alpha^2 \beta^2=\)
- A \(-\frac{17}{4}\)
- B \(\frac{17}{4}\)
- C \(-\frac{13}{4}\)
- D \(\frac{13}{4}\)
Answer & Solution
Correct Answer
(A) \(-\frac{17}{4}\)
Step-by-step Solution
Detailed explanation
\(\alpha, \beta, \gamma\) are the roots of the equation \(\begin{aligned} & 2 x^3-3 x^2+5 x-7=0 \\ & \Rightarrow \alpha+\beta+\gamma=\frac{3}{2} \Rightarrow \alpha \beta+\beta \gamma+\gamma \alpha=\frac{5}{2} \Rightarrow \alpha \beta \gamma=\frac{7}{2} \end{aligned}\) By using…
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