TS EAMCET · Maths · Quadratic Equation
If the roots of \(x^3-42 x^2+336 x-512=0\), are in increasing geometric progression, then its common ratio is
- A \(2: 1\)
- B \(3: 1\)
- C \(4: 1\)
- D \(6: 1\)
Answer & Solution
Correct Answer
(C) \(4: 1\)
Step-by-step Solution
Detailed explanation
Given, cubic equation is \[ \begin{aligned} & x^3-42 x^2+336 x-512=0 \\ & \Rightarrow x^2(x-2)-40 x(x-2)+256(x-2)=0 \\ & \Rightarrow \quad(x-2)\left(x^2-40 x+256\right)=0 \\ & \end{aligned} \]…
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