AP EAMCET · Maths · Quadratic Equation
If \(x \in \mathbf{R}\), then one of the solutions of \(\sqrt{x+1}-|\sqrt{x-1}|=\sqrt{4 x-1}\) among the following is
- A \(x=\frac{5}{4}\)
- B \(x=\frac{-5}{4}\)
- C \(x=0\)
- D \(x=1\)
Answer & Solution
Correct Answer
(A) \(x=\frac{5}{4}\)
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & \sqrt{x+1}-|\sqrt{x-1}|=\sqrt{4 x-1} \\ & \Rightarrow \sqrt{x+1}-\sqrt{4 x-1}=|\sqrt{x-1}| \end{aligned}\) Squaring on both sides…
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