TS EAMCET · Maths · Quadratic Equation
If the roots of the equation \(k x^3-18 x^2-36 x+8=0\) are in harmonic progression, then \(k=\)
- A 64
- B 45
- C 81
- D 27
Answer & Solution
Correct Answer
(C) 81
Step-by-step Solution
Detailed explanation
\(\mathrm{K} x^3-18 x^2-36 x+8=0\) roots \(\alpha, \beta, \gamma\) are in HP Considering equation where roots \(\frac{1}{\alpha}, \frac{1}{\beta}, \frac{1}{\gamma}\) are in \(\mathrm{AP}\) \(8 x^3-36 x^2-18 x+\mathrm{K}=0\) If roots are in AP let \(a-d, a, a+d\) are roots…
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