WBJEE · Maths · Quadratic Equation
The number of solution(s) of the equation \(\sqrt{x+1}-\sqrt{x-1}=\sqrt{4 x-1}\) is/are
- A 2
- B 0
- C 3
- D 1
Answer & Solution
Correct Answer
(B) 0
Step-by-step Solution
Detailed explanation
Given equation is \[ \sqrt{x+1}-\sqrt{x-1}=\sqrt{4 x-1} \] On squaring both sides, we get \[ (x+1)+(x-1)-2 \sqrt{x^{2}-1}=4 x-1 \] \(\Rightarrow \quad 2 x-2 \sqrt{x^{2}-1}=4 x-1\) \(\Rightarrow \quad-2 \sqrt{x^{2}-1}=2 x-1\) Again, squaring both sides, we get…
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