AP EAMCET · Maths · Quadratic Equation
If the harmonic mean of the roots \(\sqrt{2} x^2-b x+(8-2 \sqrt{d})=0\) is 4 , then the value of \(b\) is
- A \(2\)
- B \(3\)
- C \(4-\sqrt{5}\)
- D \(4+\sqrt{5}\)
Answer & Solution
Correct Answer
(C) \(4-\sqrt{5}\)
Step-by-step Solution
Detailed explanation
Given equation \(\sqrt{2} x^2-b x+(8-2 \sqrt{5})=0\) Let the roots of the given equation are \(\alpha\) and \(\beta\). Sum of roots, \(\alpha+\beta=\frac{-b}{a}=-\left(\frac{-b}{\sqrt{2}}\right)=\frac{b}{\sqrt{2}}\) and product of roots,…
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