AP EAMCET · Maths · Quadratic Equation
The cubic equation whose roots are the squares of the roots of the equation \(12 x^3-20 x^2+x+3=0\) is
- A \(x^3+376 x^2-121 x-9=0\)
- B \(144 x^3-400 x^2+121 x+98=0\)
- C \(144 x^3-376 x^2+121 x-9=0\)
- D \(x^3+400 x^2-121 x-98=0\)
Answer & Solution
Correct Answer
(C) \(144 x^3-376 x^2+121 x-9=0\)
Step-by-step Solution
Detailed explanation
Let \(\alpha, \beta, \gamma\) be the roots of the equation \(\begin{aligned} & 12 x^3-20 x^2+x+3=0 \\ & \because \alpha+\beta+\gamma=\frac{20}{12} \\ & \alpha \beta+\beta \gamma+\alpha \gamma=\frac{1}{12}, \alpha \beta \gamma=\frac{-3}{12} \end{aligned}\) Now,…
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