AP EAMCET · Maths · Quadratic Equation
If one root of \(x^3-7 x^2+36=0\) is twice the other, then the sum of those two roots is
- A 6
- B 9
- C -9
- D 12
Answer & Solution
Correct Answer
(B) 9
Step-by-step Solution
Detailed explanation
Let the roots be \( \alpha, 2\alpha, \beta \). \( \alpha + 2\alpha + \beta = 7 \Rightarrow 3\alpha + \beta = 7 \) \( \alpha(2\alpha) + (2\alpha)\beta + \beta\alpha = 0 \Rightarrow 2\alpha^2 + 3\alpha\beta = 0 \)…
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