A) \[4\sqrt{-1}\]
B) \[0\]
C) 5
D) \[1\frac{1}{4}\]
Correct Answer: C
Solution :
Given equation is \[\sqrt{x-1}-\sqrt{x+1}=-1\] ...(1) Rationalizing (1), we get \[\frac{(x-1)-(x+1)}{\sqrt{x-1}+\sqrt{x+1}}=-1\] \[\Rightarrow \] \[\sqrt{x-1}+\sqrt{x+1}=2\] ?.(2) Adding (1) and (2), we get \[2\sqrt{x-1}=1\] \[\Rightarrow \] \[x-1=\frac{1}{4}\] \[\Rightarrow \] \[4x=5\]You need to login to perform this action.
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