AP EAMCET · Maths · Quadratic Equation
If \(\alpha\) satisfies the equation
\(\sqrt{\frac{x}{2 x+1}}+\sqrt{\frac{2 x+1}{x}}=2\), then the roots of the equation \(\alpha^2 x^2+4 \alpha x+3=0\) are
- A 1,3
- B \(-1,1\)
- C \(2,-3\)
- D 3,4
Answer & Solution
Correct Answer
(A) 1,3
Step-by-step Solution
Detailed explanation
\(\sqrt{\frac{x}{2 x+1}}+\sqrt{\frac{2 x+1}{x}}=2\) Let \(\quad \sqrt{\frac{x}{2 x+1}}=y\) Then, \[ y+\frac{1}{y}=2 \]…
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