TS EAMCET · Maths · Quadratic Equation
If 2 and 3 are the two roots of the equation \(2 x^3+m x^2-13 x+n=0\), then the values of \(m\) and \(n\) are respectively
- A \(-\) 5, - 30
- B \(-\) 5, 30
- C 5, 30
- D 5, - 30
Answer & Solution
Correct Answer
(B) \(-\) 5, 30
Step-by-step Solution
Detailed explanation
2 and 3 are the roots of the equation \(\begin{aligned}& 2 x^3+m x^2-13 x+n=0 \\& \text { At } x=2\end{aligned}\) \(\therefore 16+4 m-26+n=0 \Rightarrow 4 m+n=10\) ...(i) at x = 3 \(54+9 m-39+n=0 \Rightarrow 9 m+n=-15\) ...(ii) Subtracting Eq. (ii) from Eq. (i),…
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